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Question Simplify to a single power of 4 : \[ \left(4^{4}\right)^{5} \] Answer Attempt 1 out of 2 Answer: 4
Ask by Stephens Malone. in the United States
Feb 03,2025
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Answer
The simplified form of \((4^4)^5\) is \(4^{20}\).
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The Deep Dive
To simplify \(\left(4^{4}\right)^{5}\), you can use the power of a power rule which states that \((a^m)^n = a^{m \cdot n}\). So here, you'll multiply the exponents: \(4 \cdot 5 = 20\). Thus, \(\left(4^{4}\right)^{5} = 4^{20}\). Remember, when working with powers, especially with bases that are already exponentiated, always keep this rule in mind to avoid oversimplifying your answer!