Multiplying and Dividing Exponents

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Algebra 2 › Multiplying and Dividing Exponents

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1

Simplify the following expression.

CORRECT

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Explanation

Simplify the following expression

To simplify this, we need to subtract our exponents and divide our whole numbers.

When we do this, we get the following.

2

Simplify

CORRECT

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Explanation

Combine all like variables. We only have the variable 'x', so we can skip that step. to multiply or divide exponents, you add, so you get 3 + (-4) + 7 = 6. The answer is

3

Divide:

CORRECT

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Explanation

Change the base of the numerator so that it matches the denominator.

We can rewrite the numerator as five squared.

Use the product rule of exponents to simplify the numerator.

Subtract the powers.

Rewrite the negative exponent as a fraction.

The answer is:

4

Simplify:

CORRECT

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Explanation

When multiplying exponents with the same base, we just keep the base the same and add the exponents.

5

Simplify:

CORRECT

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Explanation

When multiplying exponents with the same base, we add the exponents and keep the base the same.

6

Simplify:

CORRECT

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Explanation

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

7

Simplify:

CORRECT

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Explanation

When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.

Multiply:

8

Simplify:

CORRECT

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Explanation

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

9

Evaluate:

CORRECT

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Explanation

When multiplying exponents with same base, we just add the exponents and keep the base the same.

10

Simplify.

CORRECT

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Explanation

When multiplying exponents with the same base, you just have to add the exponents.