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# Simplify Powers With Integer Bases Worksheet

## 8 problems   Powers and exponent in mathematics are techniques to represent a bigger number or smaller number in a simple and easily understandable manner. The 8th grade exponent practice worksheet helps students understand these exponent concepts.

In simple terms, powers are mathematical expressions that represent the repeat multiplication of a number. The number of repeat multiplications of the base determines the value of an exponent in a power expression in mathematics.

Exponents
7.NS.A.2.C

## Teaching the Simplifying Powers With Integer Bases Easily

Base (B): A number multiplied multiple times.

For example, BxBxBxBxB

Exponent (e): A value representing the number of times a base multiplies.

For example, B5 where e = 5.

Power: An mathematical expression showing repeat multiplication of a number.

For example, B5 is known as power representing 5 times multiplication of B.

Power with an Integer base is specific for mathematical power expression where the base B is always an integer. 210, 3-5, and 61/2, are examples of powers with integer bases.

Laws of Exponents:

Multiplication law: The product of exponents having the same base but different power results in the base being raised to the sum of all the base powers.

Example: B5 * B2 * B4 = B5+2+4 = B11

Division law: It is similar to multiplication law, but the only change is that the base powers are subtracted in the results.

Example: B5 / B2 = B5-2 = B3

Negative exponent law: A base having negative power results in its reciprocal power positive.

Example: B-5 = 1/B5.

## Why Should you use simplifying power with integer bases worksheets for your students?

Students can easily understand various concepts of exponents by solving the exponent worksheets 8th grade.

The worksheets will also help solve multiple problems based on the exponents with the integer base.

Download these class 8 simplifying power with integer bases worksheets PDF for your students. You can also try our Simplify Powers With Integer Bases Problems and Simplify Powers With Integer Bases Quiz as well for a better understanding of the concepts.

## Teaching the Simplifying Powers With Integer Bases Easily

Base (B): A number multiplied multiple times.

For example, BxBxBxBxB

Exponent (e): A value representing the number of times a base multiplies.

For example, B5 where e = 5.

Power: An mathematical expression showing repeat multiplication of a number.

For example, B5 is known as power representing 5 times multiplication of B.

Power with an Integer base is specific for mathematical power expression where the base B is always an integer. 210, 3-5, and 61/2, are examples of powers with integer bases.

Laws of Exponents:

Multiplication law: The product of exponents having the same base but different power results in the base being raised to the sum of all the base powers.

Example: B5 * B2 * B4 = B5+2+4 = B11

Division law: It is similar to multipli...

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