Solve (a⁵)⁷: Simplifying Power of Power Expressions

Solve the exercise:

(a5)7= (a^5)^7=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together.
00:11 We'll use the power of a power rule.
00:14 If a number, A, is raised to power N, then raised to power M,
00:20 it's the same as A raised to the power of M times N.
00:24 Let's use this formula in our exercise!
00:28 We'll multiply and find the answer.
00:31 And that's how we solve it!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the exercise:

(a5)7= (a^5)^7=

2

Step-by-step solution

We use the formula:

(am)n=am×n (a^m)^n=a^{m\times n}

and therefore we obtain:

(a5)7=a5×7=a35 (a^5)^7=a^{5\times7}=a^{35}

3

Final Answer

a35 a^{35}

Practice Quiz

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

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