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All questions of Exponents and Powers for Class 7 Exam
The value of (40 - 20) x 50 is- a)1
- b)0
- c)10
- d)-10
Correct answer is option 'B'. Can you explain this answer?
The value of (40 - 20) x 50 is
a)
1
b)
0
c)
10
d)
-10
|
Sreemoyee Nair answered |
Anything raised to the power zero is 1 .
In the given expression, (40 - 20) x 50
= (1 - 1) x 1
= ( 0 ) x 1
= 0
So Option B is correct answer.
Express 729 as a power of 3.- a)93
- b)34
- c)36
- d)32
Correct answer is option 'C'. Can you explain this answer?
Express 729 as a power of 3.
a)
93
b)
34
c)
36
d)
32
|
Mehul Sen answered |
So option C is the correct answer.
1 lakh is equal to - a)105
- b)106
- c)103
- d)107
Correct answer is option 'A'. Can you explain this answer?
1 lakh is equal to
a)
105
b)
106
c)
103
d)
107
|
Aditi Dey answered |
1 lakh is equal to 105
So option A is the correct answer.
The value of (−1)500 is- a)1
- b)-1
- c)0
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The value of (−1)500 is
- a)1
- b)-1
- c)0
- d)None of these
|
Saptarshi Mehta answered |
If any power having a even number is raised to -1 then the result will be 1
Since the power is an even number , So (−1)500 = 1
What is the reciprocal of (-3 / 4)0?- a)1
- b)0
- c)2
- d)-1
Correct answer is option 'A'. Can you explain this answer?
What is the reciprocal of (-3 / 4)0?
a)
1
b)
0
c)
2
d)
-1
|
Abhay Sen answered |
Anything raised to the power zero is 1 .
The value of (−1)47 is- a)-1
- b)1
- c)0
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The value of (−1)47 is
a)
-1
b)
1
c)
0
d)
None of these
|
Nitin Patel answered |
If any power having a odd number is raised to -1 then result will be -1
So (−1)47 = -1
So option A is correct answer.
106 ÷ 105 =
- a)101
- b)105
- c)106
- d)1011
Correct answer is option 'A'. Can you explain this answer?
106 ÷ 105 =
a)
101
b)
105
c)
106
d)
1011
|
Foothill Academy answered |
Equating the powers,
-6=2a-5
2a=-1
a=-1/2
In 25 the exponent is- a)1
- b)5
- c)2
- d)0
Correct answer is option 'B'. Can you explain this answer?
In 25 the exponent is
a)
1
b)
5
c)
2
d)
0
|
Shalini Menon answered |
Exponents, or powers, are a way of indicating that a quantity is to be multiplied by itself some number of times. In the expression 25, 2 is called the base and 5 is called the exponent, or power.
The value of 30 is ________ .- a)1
- b)3
- c)9
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The value of 30 is ________ .
a)
1
b)
3
c)
9
d)
None of these
|
Rajesh Patel answered |
Because by the formula a0=a
therefor, answer is 3
therefor, answer is 3
If (3/2)2 × (3/2)a+5 = (3/2)8, then a = ____.- a)−1
- b)0
- c)1
- d)2
Correct answer is option 'C'. Can you explain this answer?
If (3/2)2 × (3/2)a+5 = (3/2)8, then a = ____.
a)
−1
b)
0
c)
1
d)
2
|
Niharika Mukherjee answered |
(3/2)2 × (3/2)a+5 = (3/2)8
⇒(3/2)a+7 = (3/2)8
On comparing, we get,
a+7 = 8 ⇒ a =1
⇒(3/2)a+7 = (3/2)8
On comparing, we get,
a+7 = 8 ⇒ a =1
The value of (−1)400 is- a)1
- b)0
- c)-1
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The value of (−1)400 is
a)
1
b)
0
c)
-1
d)
None of these
|
Krish Sen answered |
If any power having an even number is raised to -1 then the result will be 1
Since the power is an even number , So (−1)400 = 1
So option A is the correct answer.
is ____.
Express 2048 as a power 2.- a)28
- b)211
- c)210
- d)29
Correct answer is option 'B'. Can you explain this answer?
Express 2048 as a power 2.
a)
28
b)
211
c)
210
d)
29
|
Abhiram Chavan answered |
2048 = 2 x 1024
= 2 x 2 x 512
= 2 x 2 x 2 x 256
= 2 x 2 x 2 x 2x 128
= 2 x 2 x 2 x 2 x 2 x 64
= 2 x 2 x 2 x 2 x 2 x 2 x 32
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 16
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 8
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= 211
So option B is the correct answer.
A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 217 sq. miles. The pieces to the cut out are 162 sq. miles in size. How many smaller pieces of the land can be sold at the given size?- a)215
- b)164
- c)29
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 217 sq. miles. The pieces to the cut out are 162 sq. miles in size. How many smaller pieces of the land can be sold at the given size?
a)
215
b)
164
c)
29
d)
None of these
|
Naina Basu answered |
Required number of pieces
The value of (−1)55 is- a)1
- b)-1
- c)0
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The value of (−1)55 is
a)
1
b)
-1
c)
0
d)
None of these
|
Priyanka Sharma answered |
If any power having a odd number is raised to -1 then result will be -1
So (−1)55 = -1
So option B is correct answer.
The value of (−8) × (−8) × (−8) × (−8) × (−8) + (−8) × (−8) × (−8) × (−8) × (−8) is ____.- a)−2(8)5
- b)−(2)16
- c)−(4)8
- d)All of these
Correct answer is option 'D'. Can you explain this answer?
The value of (−8) × (−8) × (−8) × (−8) × (−8) + (−8) × (−8) × (−8) × (−8) × (−8) is ____.
a)
−2(8)5
b)
−(2)16
c)
−(4)8
d)
All of these
|
Anita Menon answered |
(−8)5+ (−8)5 = −2×(8)5 = −2×(2)15
= −(2)16 = −(4)8
The multiplicative inverse of 7-2 is:- a)72
- b)7
- c)1/72
- d)1/7
Correct answer is option 'A'. Can you explain this answer?
The multiplicative inverse of 7-2 is:
a)
72
b)
7
c)
1/72
d)
1/7
|
Shounak Desai answered |
Understanding the Problem
The question asks for the multiplicative inverse of the expression \(7 - 2\). To find the multiplicative inverse, we first need to simplify the expression.
Step 1: Simplify the Expression
- Calculate \(7 - 2\):
- \(7 - 2 = 5\)
Now, we have the simplified expression as 5.
Step 2: Find the Multiplicative Inverse
- The multiplicative inverse of a number \(x\) is defined as \(\frac{1}{x}\).
- For the number 5, the multiplicative inverse is:
- \(\frac{1}{5}\)
Analyzing the Options
The options provided are:
- a) 72
- b) 7
- c) \(\frac{1}{72}\)
- d) \(\frac{1}{7}\)
None of these options represent the multiplicative inverse of 5, which is \(\frac{1}{5}\).
Correct Answer Evaluation
It seems there is a misunderstanding regarding the correct answer being option 'A' (72). The multiplicative inverse of 5 is not any of the choices listed, including 72.
Conclusion
To clarify:
- The multiplicative inverse of \(7 - 2\) (which equals 5) is \(\frac{1}{5}\).
- The correct answer should be based on the definition of the multiplicative inverse, which does not match any of the provided options.
Thus, the analysis shows the correct answer is not option 'A', but rather \(\frac{1}{5}\), which is not listed among the options.
The question asks for the multiplicative inverse of the expression \(7 - 2\). To find the multiplicative inverse, we first need to simplify the expression.
Step 1: Simplify the Expression
- Calculate \(7 - 2\):
- \(7 - 2 = 5\)
Now, we have the simplified expression as 5.
Step 2: Find the Multiplicative Inverse
- The multiplicative inverse of a number \(x\) is defined as \(\frac{1}{x}\).
- For the number 5, the multiplicative inverse is:
- \(\frac{1}{5}\)
Analyzing the Options
The options provided are:
- a) 72
- b) 7
- c) \(\frac{1}{72}\)
- d) \(\frac{1}{7}\)
None of these options represent the multiplicative inverse of 5, which is \(\frac{1}{5}\).
Correct Answer Evaluation
It seems there is a misunderstanding regarding the correct answer being option 'A' (72). The multiplicative inverse of 5 is not any of the choices listed, including 72.
Conclusion
To clarify:
- The multiplicative inverse of \(7 - 2\) (which equals 5) is \(\frac{1}{5}\).
- The correct answer should be based on the definition of the multiplicative inverse, which does not match any of the provided options.
Thus, the analysis shows the correct answer is not option 'A', but rather \(\frac{1}{5}\), which is not listed among the options.
(2/7)2 x (2/7)4 is equal to:- a)(4/7)8
- b)(2/7)2
- c)( 2/7)6
- d)(4/14)6
Correct answer is option 'C'. Can you explain this answer?
(2/7)2 x (2/7)4 is equal to:
a)
(4/7)8
b)
(2/7)2
c)
( 2/7)6
d)
(4/14)6
|
Gopal Kumar answered |
Whenever you multiply two terms with the same base, you can add the exponents:
( x m ) ( x n ) = x( m + n )
So
(2/7)2 x (2/7)4 = (2/7)6So option C is the correct answer.
Pooja spends about Rs.40000 each month on utensils hold. If she has about 1×108 utensils, what is the total amount of money (in Rs.) spent on the households in one month?- a)40×108
- b)40000
- c)4.0×1014
- d)4.0×1012
Correct answer is option 'D'. Can you explain this answer?
Pooja spends about Rs.40000 each month on utensils hold. If she has about 1×108 utensils, what is the total amount of money (in Rs.) spent on the households in one month?
a)
40×108
b)
40000
c)
4.0×1014
d)
4.0×1012
|
|
Pallavi shukla answered |
Rs. 400000 in her utensils hold, it means that she can sustain her expenses for 10 months.
{(1/3)−3−(1/2)−3} ÷ (1/4)−3 ?- a)19/64
- b)64/19
- c)27/16
- d)16/27
Correct answer is option 'A'. Can you explain this answer?
{(1/3)−3−(1/2)−3} ÷ (1/4)−3 ?
a)
19/64
b)
64/19
c)
27/16
d)
16/27
|
Pallabi Saha answered |
{(1/3)−3−(1/2)−3} ÷ (1/4)−3 = {(3)3−(2)3} ÷ (4)3 = {27−8} ÷ 64 = 19/64
Express 432 as a product of powers of prime factors.
- a)23×33
- b)8×27
- c)16×27
- d)24×33
Correct answer is option 'D'. Can you explain this answer?
Express 432 as a product of powers of prime factors.
a)
23×33
b)
8×27
c)
16×27
d)
24×33
|
Pooja Banerjee answered |
First, we find the prime factors of 432:
So, the prime factorization of 432 is:
can de written in exponential form as - a)a3c1d2
- b)a3 × c4 × d
- c)c4 × d x a4
- d)a4 x b1 x c2
Correct answer is option 'B'. Can you explain this answer?
can de written in exponential form as a)
a3c1d2
b)
a3 × c4 × d
c)
c4 × d x a4
d)
a4 x b1 x c2
|
Maheshwar Verma answered |
a × a × a × c × c × c × c × d = a3 × c4 × d
The number which is multiplied by (−8)−1 to obtain a product equal to 10−1 is ____.- a)−4/5
- b)−3/5
- c)−1/5
- d)−5/4
Correct answer is option 'A'. Can you explain this answer?
The number which is multiplied by (−8)−1 to obtain a product equal to 10−1 is ____.
a)
−4/5
b)
−3/5
c)
−1/5
d)
−5/4
|
Shraddha Nambiar answered |
Let the number be x, Then, (−8)−1× x = (10)−1
⇒(−1/8) × x = (1/10) ⇒ x= −4/5
All the planets revolve around the Sun in elliptical orbits. Uranus's farthest distance from the Sun is approximately 3.004×109 km and its closest distance is approximately 2.7499×109 kmkm. What is the average distance of Uranus from the Sun?- a)(2.476×109)km
- b)(2.8765×109)km
- c)(2.876×108)km
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
All the planets revolve around the Sun in elliptical orbits. Uranus's farthest distance from the Sun is approximately 3.004×109 km and its closest distance is approximately 2.7499×109 kmkm. What is the average distance of Uranus from the Sun?
a)
(2.476×109)km
b)
(2.8765×109)km
c)
(2.876×108)km
d)
None of these
|
|
Shraddha Nambiar answered |
Distance of Uranus from Sun =(3.004×109)km
Uranus closest distance from Sun =(2.7499×109)km
Total distance = 3.004×109 + 2.7499×109
= (5.753×109)km
Average distance = (5.753×109)/2
= (2.8765×109)km
Uranus closest distance from Sun =(2.7499×109)km
Total distance = 3.004×109 + 2.7499×109
= (5.753×109)km
Average distance = (5.753×109)/2
= (2.8765×109)km
The value of (23/25)0 × (−1/2)5 ×23 × (3/4)2 is- a)−9/64
- b)9/64
- c)64/9
- d)−64/9
Correct answer is option 'A'. Can you explain this answer?
The value of (23/25)0 × (−1/2)5 ×23 × (3/4)2 is
a)
−9/64
b)
9/64
c)
64/9
d)
−64/9
|
Madhurima Kulkarni answered |
(23/25)0 × (−1/2)5 ×23 × (3/4)2
=1×(−1)5 × (2)−5 × 23 × 32 × (2)−4=−9/64
{(3/4)−1−(1/4)−1}−1 = ?- a)3/8
- b)−3/8
- c)8/3
- d)−8/3
Correct answer is option 'B'. Can you explain this answer?
{(3/4)−1−(1/4)−1}−1 = ?
a)
3/8
b)
−3/8
c)
8/3
d)
−8/3
|
Anoushka gupta answered |
The given expression (3/4) is a fraction.
The value of ab − ba, if a = 3, b = 7 is- a)1825
- b)1840
- c)1844
- d)1850
Correct answer is option 'C'. Can you explain this answer?
The value of ab − ba, if a = 3, b = 7 is
a)
1825
b)
1840
c)
1844
d)
1850
|
Deepak Mehra answered |
ab − ba =37−73 = 2187−343 = 1844
If (5/3)−5 × (5/3)11 = (5/3)8+x, then x = ?- a)−1/2
- b)−2
- c)2
- d)1/2
Correct answer is option 'B'. Can you explain this answer?
If (5/3)−5 × (5/3)11 = (5/3)8+x, then x = ?
a)
−1/2
b)
−2
c)
2
d)
1/2
|
Keerthana Mukherjee answered |
(5/3)−5 × (5/3)11 = (5/3)8+x
⇒ (5/3)−5+11=(53)8+x ⇒ (5/3)6 = (5/3)8+
On comparing, we get,
8+x = 6 ⇒x = −2
⇒ (5/3)−5+11=(53)8+x ⇒ (5/3)6 = (5/3)8+
On comparing, we get,
8+x = 6 ⇒x = −2
The value of 
is ________.- a)a−1 × b
- b)a × b−1
- c)(ab)−1
- d)ab
Correct answer is option 'D'. Can you explain this answer?
The value of is ________.
is ________.a)
a−1 × b
b)
a × b−1
c)
(ab)−1
d)
ab
|
Abhiram Roy answered |
=(a−2+3 × b−3×4) = a×b = ab
(-5)4 =
- a)225
- b)625
- c)375
- d)125
Correct answer is option 'B'. Can you explain this answer?
(-5)4 =
a)
225
b)
625
c)
375
d)
125
|
Pragati Choudhary answered |
(-5)4 = (-5) × (-5) × (-5) × (-5) = 625
Which of the following is equivalent to 7.7×10−6 ?- a)0.00000077
- b)0.0000077
- c)0.000077
- d)0.00077
Correct answer is option 'B'. Can you explain this answer?
Which of the following is equivalent to 7.7×10−6 ?
a)
0.00000077
b)
0.0000077
c)
0.000077
d)
0.00077
|
Nidhi Nair answered |
7.7×10−6 = 7.7/100000 = 0.0000077
can be written as Mr Gupta asked two of his students to solve the expression 
and write the answer on blackboard. Aryan wrote the answer as 3a−4b5 whereas Ayan wrote the answer as 
. Who wrote the correct answer?- a)Aryan
- b)Ayan
- c)Both of them
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Mr Gupta asked two of his students to solve the expression and write the answer on blackboard. Aryan wrote the answer as 3a−4b5 whereas Ayan wrote the answer as . Who wrote the correct answer?
and write the answer on blackboard. Aryan wrote the answer as 3a−4b5 whereas Ayan wrote the answer as . Who wrote the correct answer?a)
Aryan
b)
Ayan
c)
Both of them
d)
None of these
|
|
Pragati Choudhary answered |
The value of 
- a)26×316×512
- b)317×516×75
- c)26×516×712
- d)27×317×75
Correct answer is option 'B'. Can you explain this answer?
The value of
a)
26×316×512
b)
317×516×75
c)
26×516×712
d)
27×317×75
|
Madhavan Banerjee answered |
Correct Answer :- b
Explanation : [(2*3)12 * (5*7)28 * (5*3)16]/[(7*2)12 * (7*3)11 * 528]
= [(2)12 * (3)12 * (5)28 * (7)28 * (5)16 * (3)16]/[(7)12 * (2)12 * (7)11 * (3)11 * (5)28]
= [(2)12 * (3)12+16 * (5)28+16 * 316]/[(7)12+11 * (2)12 * (3)11 * (5)28]
= [(2)12 * (3)28 * (5)44 * 316]/[(7)23 * (2)12 * (3)11 * (5)28]
= 317 * 516 * 75
If a = 3 and b = 4 then find the value of aa + bb- a)283
- b)270
- c)276
- d)267
Correct answer is option 'A'. Can you explain this answer?
If a = 3 and b = 4 then find the value of aa + bb
a)
283
b)
270
c)
276
d)
267
|
|
Gopal Kumar answered |
Given, a = 3 and b = 4
aa + bb = 33 + 44 = 3 x 3 x 3 + 4 x 4 x 4 x 4
= 27 + 16 x 16
= 27 + 256
= 283
So option A is the correct answer.
There are three places A, B, C in a straight line as shown below. If distance between place A and B is (2.4×106)m and distance between 8 and C is (5.2×105)m, then find the distance between place A and C in standard form. 
- a)(292×106)km
- b)(2.92×106)km
- c)(292×105)km
- d)(2.92×104)m
Correct answer is option 'B'. Can you explain this answer?
There are three places A, B, C in a straight line as shown below. If distance between place A and B is (2.4×106)m and distance between 8 and C is (5.2×105)m, then find the distance between place A and C in standard form.
a)
(292×106)km
b)
(2.92×106)km
c)
(292×105)km
d)
(2.92×104)m
|
Keerthana Basak answered |
Distance between place A and B
= 2.4×106m = 2400000 m
Distance between place 6 and C = 5.2×105 m = 5.2×100000 m = 520000 m
Distance between place A and C
= (2.4×106 + 5.2×105)m = (2400000 + 520000)m = 292×104m
Standard form of 292×104m = 2.92×106
= 2.4×106m = 2400000 m
Distance between place 6 and C = 5.2×105 m = 5.2×100000 m = 520000 m
Distance between place A and C
= (2.4×106 + 5.2×105)m = (2400000 + 520000)m = 292×104m
Standard form of 292×104m = 2.92×106
Chapter doubts & questions for Exponents and Powers - Mathematics (Maths) Class 7 2025 is part of Class 7 exam preparation. The chapters have been prepared according to the Class 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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