Simplify the Exponential Expression: a^7y ÷ a^5x Using Power Rules

Solve the following exercise

a7ya5x \frac{a^{7y}}{a^{5x}}

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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 exponents
00:10 We'll apply this formula to our exercise, and subtract the exponents
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following exercise

a7ya5x \frac{a^{7y}}{a^{5x}}

2

Step-by-step solution

Let's consider that in the given problem there is a fraction in both the numerator and denominator with terms of identical bases. Hence we use the property of division between terms of identical bases in order to solve the exercise:

cmcn=cm−n \frac{c^m}{c^n}=c^{m-n} We apply the previously mentioned property to the problem:

a7ya5x=a7y−5x \frac{a^{7y}}{a^{5x}}=a^{7y-5x} Therefore, the correct answer is option A.

3

Final Answer

a7y−5x a^{7y-5x}

Practice Quiz

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

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