Simplify the Expression: a^9 Divided by a^x Step-by-Step

Simplify the following expression:

a9ax \frac{a^9}{a^x}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the following problem
00:03 When dividing powers with equal bases
00:07 The power of the result equals the difference between the powers
00:11 We'll apply this formula to our exercise, and subtract the powers
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

Simplify the following expression:

a9ax \frac{a^9}{a^x}

2

Step-by-step solution

In the question there is a fraction that has terms with identical bases in its numerator and denominator. Therefore, so we can use the distributive property of division to solve the exercise:

cmcn=cm−n \frac{c^m}{c^n}=c^{m-n}

We apply the previously distributive property to the problem:

a9ax=a9−x \frac{a^9}{a^x}=a^{9-x}

Therefore, the correct answer is (c).

3

Final Answer

a9−x a^{9-x}

Practice Quiz

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\( 112^0=\text{?} \)

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