Exponents and Powers Class 8 Worksheet with Answers

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This worksheet is based on the chapter Exponents and Powers for Class 8. Before starting the worksheet,watch our detailed video tutorial on Exponents and Powers—it will help you a lot in understanding the concepts clearly.

In our YouTube video, we have explained Exponents formula, powers, and their applications in detail using clear examples and easy tricks to make learning simple and effective.

Now, try solving the worksheet below to test your understanding. If you face any difficulty or have doubts while solving the questions, feel free to comment under the YouTube video. We’ll be happy to help and clear all your doubts in our upcoming videos.

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1. Multiplicative inverse of $4^5$ is:

a. $-4^5$ b. $5^4$ c. $4^{-5}$ d. $\frac{1}{5^4}$

2. The value of $\left(\frac{4}{5}\right)^{-2}$ is:

a. $\frac{2}{5}$ b. $\frac{25}{16}$ c. $\frac{16}{25}$ d. $\frac{4^2}{5^2}$

3. The value of $\left(6^{-1}-9^{-1}\right)^{-1} - \left(2^{-1}-4^{-1}\right)^{-1}$ is:

a. $14$ b. $12$ c. $7$ d. $\frac{1}{14}$

4. The usual form of $4.103 \times 10^{-3}$ is:

a. $0.4103$ b. $0.04103$ c. $0.004103$ d. $0.0004103$

5. Simplify:

(i) $\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{2}\right)^{-2} + \left(\frac{1}{3}\right)^{-2}$

(ii) $\left(\left(-\frac{2}{3}\right)^{-2}\right)^3 \times \left(\frac{1}{3}\right)^{-4} \times 3^{-1} \times \frac{1}{6}$

(iii) $36 \times \left(3^{-1} + 6^{-1} + 9^{-1} + 12^{-1}\right)$

(iv) $\frac{9^3 \times 27 \times t^4}{3^{-2} \times 3^4 \times t^2}$

6. Find the value of $x$ so that:

(i) $\left(\frac{5}{3}\right)^{-2} \times \left(\frac{5}{3}\right)^{-14} = \left(\frac{5}{3}\right)^{8x}$

(ii) $\left(2^{-1} + 4^{-1} + 6^{-1} + 8^{-1}\right)^x = 1$

7. If $a=-1$ and $b=2$ , find the value of:

(i) $a^b + b^a$ (ii) $a^b - b^a$ (iii) $a^b \times b^2$

The answer key and the solution of above questions is given in the video given below:

For more practice we have added few more questions in this worksheet, attempt and comment if you have any problem in solving any question:

Q10. If $a=\frac{5}{2}$ , evaluate:

$a^2-\frac{5}{2}$

Q11. Simplify:

$9^3 \div 3^4$

Q12. If $x=\frac{2}{3}\times\frac{3}{2}$ .

Find the value of: $x^6$

Q13. Simplify:

$\left(10^2\right)^3 \div 10^4$

Q13. If $a = 4^3$ , find the value of:

$\sqrt{a}$

Q15. If $x = 2^5$ , find the value of:

$\frac{x}{2^3} + 2^2$

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Exponents and Powers Class 8 Worksheet with Answers

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