Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet : Exponents & Powers
Class 8 Maths - Exponents and Powers CBSE Worksheets
Multiple Choice Questions
Q1: What is the base of the exponent 69?
(a) 6
(b) 2
(c) 9
(d) None
Q2: Find the missing number 
(a) 2
(b) −5
(c) 1
(d) None
Q3: Find the value of (52)2
(a) 125
(b) 625
(c) 25
(d) 0
Q4: Find the value of x, when 2x=44
(a) x=6
(b) x=2
(c) x=8
(d) x=−5
Q5: Find the value of (211+62−51)0
(a) 0
(b) −1
(c) 1
(d) None
Q6: Express 512 as a power of 2.
(a) 27
(b) 28
(c) 29
(d) 210
Q7: Which is the correct expression for 625?
(a) 53
(b) 45
(c) 54
(d) None of these
Q8: From 27, 42, 32, and 63, which is greater than others?
(a) 27
(b) 32
(c) 43
(d) 63
State true or false
Q1: (100+120)(160+120)=82
Q2: (34)2=38
Q3: (52)3=100000
Answer the following Questions
Q1: Follow the pattern and complete
Q2: If 2x × 5x=1000 then x=?
Q3: Find 34 + 43 + 53 and give the answers in cube
Q4: Find the missing number x in 52+x2=132
Q5: Simplify in exponent form (34× 32)÷ 3−4
Q6: Expand
(a) 1526.26
(b) 8379
Using exponents
Q7: Express the following number as a product of powers of prime factors.
(a) 1225
(b) 3600
Q8: Express the following large no’s in its scientific notation.
(a) 650200000000
(b) 301000000
Q9: Express the following in expanded form
(a) 1.682× 105
(b) 0.86× 104
Q10: Prove that 
You can access the solutions to this worksheet here.
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FAQs on Class 8 Maths - Exponents and Powers CBSE Worksheets
| 1. What are exponents and how are they used in mathematics? |  |
Ans. Exponents are a way to express repeated multiplication of a number by itself. For example, in the expression \(2^3\), the number 2 is the base, and 3 is the exponent, indicating that 2 is multiplied by itself three times (i.e., \(2 \times 2 \times 2 = 8\)). Exponents are used in various mathematical applications, including algebra, calculus, and scientific notation.
| 2. How do you simplify expressions with exponents? | |
Ans. To simplify expressions with exponents, you can use several exponent rules, such as the product of powers rule (\(a^m \times a^n = a^{m+n}\)), the quotient of powers rule (\(a^m / a^n = a^{m-n}\)), and the power of a power rule (\((a^m)^n = a^{m \times n}\)). By applying these rules, you can combine and simplify complex expressions involving exponents.
| 3. What is the difference between a base and an exponent? | |
Ans. The base is the number that is being multiplied, while the exponent indicates how many times the base is multiplied by itself. For example, in the expression \(5^4\), 5 is the base, and 4 is the exponent, meaning that 5 is multiplied by itself four times (i.e., \(5 \times 5 \times 5 \times 5 = 625\)).
| 4. How do negative exponents work? | |
Ans. Negative exponents represent the reciprocal of the base raised to the opposite positive exponent. For instance, \(a^{-n} = \frac{1}{a^n}\). This means that if you have a negative exponent, you can rewrite it as a fraction with the base in the denominator. For example, \(2^{-3} = \frac{1}{2^3} = \frac{1}{8}\).
| 5. What is scientific notation and how is it related to exponents? | |
Ans. Scientific notation is a way to express very large or very small numbers using exponents. It is typically written in the form \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer. For example, the number 3000 can be expressed as \(3.0 \times 10^3\). This notation uses exponents to simplify calculations and make it easier to read and write large numbers.
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Dec 24, 2024 Last updated |
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