Question
Simplify.
32^4/5
32^4/5
Answers
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Answered by
GPT-4o mini
To simplify \( 32^{4/5} \), we can break it down into steps:
1. Rewrite \( 32 \) as a power of 2:
\[
32 = 2^5
\]
Thus, we can write:
\[
32^{4/5} = (2^5)^{4/5}
\]
2. Apply the exponent rule \((a^m)^n = a^{m \cdot n}\):
\[
(2^5)^{4/5} = 2^{5 \cdot \frac{4}{5}} = 2^4
\]
3. Calculate \( 2^4 \):
\[
2^4 = 16
\]
Therefore, the simplified form of \( 32^{4/5} \) is \( \boxed{16} \).
1. Rewrite \( 32 \) as a power of 2:
\[
32 = 2^5
\]
Thus, we can write:
\[
32^{4/5} = (2^5)^{4/5}
\]
2. Apply the exponent rule \((a^m)^n = a^{m \cdot n}\):
\[
(2^5)^{4/5} = 2^{5 \cdot \frac{4}{5}} = 2^4
\]
3. Calculate \( 2^4 \):
\[
2^4 = 16
\]
Therefore, the simplified form of \( 32^{4/5} \) is \( \boxed{16} \).
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