Simplify a⁵/a³: Exponent Division Practice Problem

Simplify the following:

a5a3= \frac{a^5}{a^3}=

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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:

a5a3= \frac{a^5}{a^3}=

2

Step-by-step solution

Since a division operation between two terms with identical bases is required, we will use the power property to divide between terms with identical bases:

cmcn=cm−n \frac{c^m}{c^n}=c^{m-n} Note that using this property is only possible when the division is carried out between terms with identical bases.

We return to the problem and apply the mentioned power property:

a5a3=a5−3=a2 \frac{a^5}{a^3}=a^{5-3}=a^2 Therefore, the correct answer is option A.

3

Final Answer

a2 a^2

Practice Quiz

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

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