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All questions of Power And Index for CLAT Exam
If 
, the value of x is- a)0
- b)-2
- c)1
- d)2
Correct answer is option 'D'. Can you explain this answer?
If , the value of x is
, the value of x isa)
0
b)
-2
c)
1
d)
2
|
|
Mehak Jaju answered |
2^3x-1+10= 7×6
2^3x-1= 42-10
2^3x-1=32
2^3x-1=2^5
3x-1=5
3x=6
x=2
2^3x-1= 42-10
2^3x-1=32
2^3x-1=2^5
3x-1=5
3x=6
x=2
Which of the following is not equal to -27/64- a)
- b)
- c)
- d)
Correct answer is 'B'. Can you explain this answer?
Which of the following is not equal to -27/64
a)
b)
c)
d)
|
Shalini Chunukwad answered |
Answer is not (b) it is (c )
Which of the following is not equal to 1/2?- a)5 x 10-1
- b)0.5 x 10-1
- c)0.05 x 10
- d)0.005 x 102
Correct answer is option 'B'. Can you explain this answer?
Which of the following is not equal to 1/2?
a)
5 x 10-1
b)
0.5 x 10-1
c)
0.05 x 10
d)
0.005 x 102
|
Crafty Classes answered |
- After solving , we got to know that 0.5 x 10-1 will be 5/100 = 1/20 not 1/2
Hence, B is the correct ans
Hence, B is the correct ans
is equal to
The square of 
is- a)
- b)3/5
- c)-9/25
- d)9/25
Correct answer is option 'D'. Can you explain this answer?
The square of is
isa)
b)
3/5
c)
-9/25
d)
9/25
|
Aarav Sharma answered |
The square of a number is obtained by multiplying the number by itself. In this case, we need to find the square of -3/5.
To calculate the square of a fraction, we square both the numerator and the denominator separately. So, the square of -3/5 can be calculated as (-3/5)^2.
To simplify the calculation, we can write -3/5 as a fraction with positive numerator and denominator by multiplying both numerator and denominator by -1. This gives us (-1*-3)/(-1*5) = 3/5.
Now, we can square 3/5. Squaring the numerator gives us (3^2) = 9, and squaring the denominator gives us (5^2) = 25.
So, the square of -3/5 is (3/5)^2 = 9/25.
Therefore, the correct answer is option D) 9/25.
To calculate the square of a fraction, we square both the numerator and the denominator separately. So, the square of -3/5 can be calculated as (-3/5)^2.
To simplify the calculation, we can write -3/5 as a fraction with positive numerator and denominator by multiplying both numerator and denominator by -1. This gives us (-1*-3)/(-1*5) = 3/5.
Now, we can square 3/5. Squaring the numerator gives us (3^2) = 9, and squaring the denominator gives us (5^2) = 25.
So, the square of -3/5 is (3/5)^2 = 9/25.
Therefore, the correct answer is option D) 9/25.
is
the value of x is
then the value of 
is: 
The value of 
is- a)6
- b)1/9
- c)-2/9
- d)-8
Correct answer is option 'B'. Can you explain this answer?
The value of is
isa)
6
b)
1/9
c)
-2/9
d)
-8
|
|
Crafty Classes answered |
- - Lets us segregate this question and solve it into two halves
- (4-1 + 8-1)
- = (1/4 + 1/8)
- = 3/8
- Now, 3/8 ÷ 1/(3/2)-.3
- = 3/8 x (2/3)3
- = on solving we get our answer = 1/9 that is option B
the value of x is
is equal to
is equal to- a)1/2
- b)-2
- c)2-16
- d)2-13
Correct answer is option 'B'. Can you explain this answer?
is equal toa)
1/2
b)
-2
c)
2-16
d)
2-13
|
Shanaya Sharma answered |
Anything to the power (-1) gives it inverse so here it will change from 1/2 to 2
and the negative wii be as it is , thus ans becomes -2
and the negative wii be as it is , thus ans becomes -2
is equal to
For any rational numbers p and q , P4 x q4 is equal- a)p x q)o
- b)(p x q)4
- c)(p x q)8
- d)(p x q)16
Correct answer is option 'B'. Can you explain this answer?
For any rational numbers p and q , P4 x q4 is equal
a)
p x q)o
b)
(p x q)4
c)
(p x q)8
d)
(p x q)16
|
Amartya Kumar answered |
Here the formula used is a^m × b^m = (a×b)^m.Hence In this question p^4×q^4=(p×q)^4.In this question the question is quite not clear as it seems that 'p' and 'q' are multiplied by 4 but in reality they are raised to the power of 4.
, then the value of x is:
is equal to- a)0
- b)11/13
- c)1
- d)110/13
Correct answer is option 'B'. Can you explain this answer?
is equal toa)
0
b)
11/13
c)
1
d)
110/13
|
Yash Patel answered |
Solution
- b)11/13
- The one exponent rule states thatraising a number to a power of 1 yields the original number. Pre-Algebra Laws of Exponents.
then the value of z is close to
p8 ÷ p2 is equal to (p < o)
- a)p4
- b)p-4
- c)p6
- d)p10
Correct answer is option 'C'. Can you explain this answer?
p8 ÷ p2 is equal to (p < o)
a)
p4
b)
p-4
c)
p6
d)
p10
|
Ravi Kumar answered |
According to property of indices if A ki power m hai divide by A ki power n hai than this will equal to A ki power m-n
is equal to
then the value of 
is:
is equal to- a)1/2
- b)-1/2
- c)2-16
- d)2-13
Correct answer is option 'B'. Can you explain this answer?
is equal toa)
1/2
b)
-1/2
c)
2-16
d)
2-13
|
Ankit Verma answered |
The correct option is B.
(-½)^1 = -½
Power 1 will make no difference to the number.
(-½)^1 = -½
Power 1 will make no difference to the number.
- a)1
- b)2
- c)9
- d)3n
Correct answer is option 'C'. Can you explain this answer?
a)
1
b)
2
c)
9
d)
3n
|
Aditya Chakraborty answered |
Given Expression = 
is equal to
Chapter doubts & questions for Power And Index - 4 Months Preparation Course for CLAT UG 2025 is part of CLAT exam preparation. The chapters have been prepared according to the CLAT exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CLAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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