## Introduction to Exponents and Powers

Exponents and powers are important mathematical concepts that help us simplify and solve complex calculations. In this article, we will explore the topic of exponents and powers, and provide class 8 worksheets with answers to help you practice and understand these concepts better.

## What are Exponents?

Exponents are a way to represent repeated multiplication of a number. They are also known as powers. An exponent is written as a small number placed above and to the right of a base number. For example, in the expression 5², 5 is the base and 2 is the exponent. It means 5 multiplied by itself twice or 5 x 5 = 25.

## Understanding Powers

Powers are a shorthand way of writing repeated multiplication. The base number in a power is multiplied by itself as many times as the exponent indicates. Let’s take another example to understand this better. In the expression 4³, 4 is the base and 3 is the exponent. It means 4 multiplied by itself three times or 4 x 4 x 4 = 64.

## Rules of Exponents and Powers

1. When multiplying two numbers with the same base, add the exponents. For example, 2³ x 2² = 2⁵.

2. When dividing two numbers with the same base, subtract the exponents. For example, 3⁴ ÷ 3² = 3².

3. When raising a power to another power, multiply the exponents. For example, (2³)² = 2⁶.

## Class 8 Worksheets with Answers

Below are some class 8 worksheets on exponents and powers with answers provided. These worksheets will help you practice and reinforce your understanding of this topic.

1. Worksheet 1:

– Question 1: Simplify 2⁴.

– Answer: 16.

2. Worksheet 2:

– Question 1: Evaluate 5² x 5³.

– Answer: 125.

3. Worksheet 3:

– Question 1: Simplify (3⁵)² ÷ 3⁷.

– Answer: 1/9.

4. Worksheet 4:

– Question 1: Solve 7⁴ + 7³.

– Answer: 532.

## Conclusion

Exponents and powers are fundamental concepts in mathematics. They allow us to simplify and solve complex calculations efficiently. By practicing with the provided class 8 worksheets, you can strengthen your understanding of exponents and powers. Remember to use the rules of exponents to simplify expressions and solve problems accurately.

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Exponents And Powers Class 8 Worksheets Pdf