Solve (6²)¹³: Calculating a Power of Power Expression

(62)13= (6^2)^{13}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's simplify the exercise!
00:10 We're using the formula for power of a power.
00:14 For any number A, raised to the power N, and then to the power M,
00:19 we express it as A to the power of M times N.
00:24 Let's apply this formula to our exercise.
00:28 Multiply the exponents and find your answer.
00:31 And that solves our question!

Step-by-step written solution

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1

Understand the problem

(62)13= (6^2)^{13}=

2

Step-by-step solution

We use the formula:

(an)m=an×m (a^n)^m=a^{n\times m}

Therefore, we obtain:

62×13=626 6^{2\times13}=6^{26}

3

Final Answer

626 6^{26}

Practice Quiz

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

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