IXL - Simplify exponential expressions using the multiplication and division rules (Algebra 1 practice)

Simplify. Express your answer using positive exponents.

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question

Simplify. Express your answer using positive exponents.

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key idea

To multiply powers with the same base, add their exponents.

To divide powers with the same base, subtract their exponents.

A negative exponent can be written as a positive exponent in the denominator.

Any number to the first power is equal to itself.

solution

First, simplify the denominator.

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Group the coefficients and group the variables

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Group the coefficients and group the variables

Multiply, remembering to add the exponents

The denominator is simplified. Now, divide the numerator by the denominator.

Divide the coefficients by their greatest common factor, 2

Divide, remembering to subtract the exponents

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Divide, remembering to subtract the exponents

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Finally, express your answer using positive exponents.

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Looking for more? Try these:

Lesson: Properties of exponents

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Not feeling ready yet? These can help:

R.7Simplify exponential expressions using the multiplication rule

R.8Simplify exponential expressions using the division rule

Lesson: Properties of exponents

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