Class 8 Exam  >  Class 8 Notes  >  Mathematics (Maths) Class 8  >  Worksheet Solutions: Exponents & Powers

Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

Multiple Choice Questions

Q1: What is the base of the exponent 69?
(a) 6
(b) 2
(c) 9
(d) None
Ans: 
(a)

The base of the exponent 69 is 6

Q2: Find the missing number Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions
(a) 2
(b) −5
(c) 1
(d) None

Ans: (b)

The missing number should be  −5
So the answer will be 75 = Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

Q3: Find the value of  (52)2
(a) 125
(b) 625
(c) 25
(d) 0
Ans: 
(b)

The solution will be
(52)2=54
(52)2=5×5×5×5
(52)2= 625

Q4: Find the value of x, when 2x=44
(a) x=6
(b) x=2
(c) x=8
(d) x=−5
Ans:
(c)

The solution will be
2x=44
2x=(22)4
2x=28
2x=28
x=8
So the answer will be x=8

Q5: Find the value of (211+62−51)0= ?
(a) 0
(b) −1
(c) 1
(d) None
Ans: 
(c)

The solution will be
(211+62−51)0=(anything)0
(211+62−51)0=1
So the solution will be
(211+62−51)0=1

Q6: Express 512 as a power of 2.
(a)
27
(b) 28
(c) 29
(d) 210
Ans: (c)

Since 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 29

Hence, option (c) is correct.

Q7: Which is the correct expression for 625?
(a) 
53
(b) 45
(c) 54
(d) None of these
Ans: (c)

Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions
We have 625 = 5 × 5× 5 × 5 = 54.

Q8: From 27, 42, 32 and  63,  which is greater than others?
(a) 
27
(b) 32
(c) 43
(d) 63
Ans: (d)

Since we have
27 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
32 = 3 × 3 = 9
42 = 4 × 4  = 16
63 = 6 × 6 × 6 = 216
In this, 63 is greater. 

State true or false

Q1:  (100+120)(160+120)=82
Ans: False

(Anything)=1  therefore, LHS= 1 

RHS= 82 = 64 

hence false 

Q2: (34)2=38
Ans: True

LHS= (34)= (3)8

RHS=  (3)8

Q3: (52)3=100000
Ans: 
False

LHS= (52)3= (5)= 1000000  Hence false

Answer the following Questions

Q1: Follow the pattern and complete
Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

Ans: The pattern for the solution is square root of the numbers which continue as
1234321=11112
123454321=111112

Q2: If 2× 5x=1000 then x=?
Ans: 
For solving we will just factorise
2x ×5x=1000
2× 5x = 5 × 5 × 5 × 2 × 2 × 2
2x × 5x = 23 × 53
x = 3

Q3: Find 33 + 43 + 53 and give the answers in cube
Ans:
Solve the expression
33+43+53=27+64+125
33+43+53=216
33+43+53=6×6×6
33+43+53=63

Q4: Find the missing number x in  52+x2=132
Ans: 
Solve the expression
52+x2=132
25+x2=169
x2=144
x=√144
x=12

Q5: Simplify in exponent form (34× 32)÷ 3−4
Ans: 
Solving the expression
Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

Q6: Expand
(a) 1526.26
(b) 8379
Using exponents

Ans: Solve in exponential form
(a) 1526.26=1×103+5×102+2×101+6×10+2×10−1 + 6×10−2
(b) 8379=8×103+3×102+7×101+9×100

Q7: Express the following number as a product of powers of prime factors.
(a) 1225
(b) 3600
Ans: 
Solve in exponential form
(a) 1225=5×5×7×7
1225=52×72
(b) 3600=2×2×2×2×3×3×5×5
3600=24×32×52

Q8: Express the following large no’s in its scientific notation.
(a) 650200000000
(b) 301000000
Ans: 
Solve in exponential form
(a)650200000000=6.502×1011
(b)301000000=3.01×108

Q9: Express the following in expanded form
(a) 1.682 × 105
(b) 0.86 × 104
Ans: 
Solve in exponential form
(a) 168200
(b) 8600
Q10: Prove that Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions
Ans: 
Solve the left hand side and equate with the right
Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

The document Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions is a part of the Class 8 Course Mathematics (Maths) Class 8.
All you need of Class 8 at this link: Class 8
79 videos|408 docs|31 tests

Top Courses for Class 8

FAQs on Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

1. What are exponents and powers?
Ans. Exponents and powers are mathematical concepts used to represent repeated multiplication. An exponent is a small number written above and to the right of a base number, indicating how many times the base number should be multiplied by itself. Powers, on the other hand, are the result of evaluating an exponent expression.
2. How do you simplify expressions with exponents?
Ans. To simplify expressions with exponents, you can use certain rules. For example, when multiplying two numbers with the same base but different exponents, you can add the exponents together. Conversely, when dividing two numbers with the same base, you can subtract the exponents. Additionally, raising a power to another power involves multiplying the exponents.
3. What is the difference between a positive and negative exponent?
Ans. A positive exponent indicates that the base number should be multiplied by itself the specified number of times. For example, 2^3 means 2 multiplied by itself three times, resulting in 2 x 2 x 2 = 8. On the other hand, a negative exponent indicates that the base number should be divided by itself the specified number of times. For instance, 2^-3 means 1 divided by 2 three times, resulting in 1/(2 x 2 x 2) = 1/8.
4. How do exponents and powers relate to scientific notation?
Ans. Exponents and powers are closely related to scientific notation. Scientific notation is a way of expressing very large or very small numbers by using powers of 10. In scientific notation, a number is written as a decimal between 1 and 10 multiplied by a power of 10. The power of 10 represents the number of times the decimal point is moved to the right or left to obtain the original number.
5. What are some real-life applications of exponents and powers?
Ans. Exponents and powers have various real-life applications. For example, they are used in finance and compound interest calculations, population growth models, exponential decay in radioactive substances, and determining the magnitudes of earthquakes on the Richter scale. Additionally, exponents are also used in computer science and data compression algorithms, as well as in calculating probabilities and statistics.
79 videos|408 docs|31 tests
Download as PDF
Explore Courses for Class 8 exam

Top Courses for Class 8

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

,

video lectures

,

Important questions

,

past year papers

,

pdf

,

Previous Year Questions with Solutions

,

study material

,

Objective type Questions

,

Summary

,

Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

,

Viva Questions

,

Exam

,

ppt

,

shortcuts and tricks

,

Class 8 Maths - Exponents and Powers CBSE Worksheets Solutions

,

Sample Paper

,

Semester Notes

,

mock tests for examination

,

MCQs

,

Free

,

Extra Questions

,

practice quizzes

;