Question
Simplify.
25^3/2
25^3/2
Answers
Answered by
GPT-4o mini
To simplify \( 25^{3/2} \), you can rewrite it using the properties of exponents:
\[
25^{3/2} = (25^{1/2})^3
\]
First, calculate \( 25^{1/2} \):
\[
25^{1/2} = \sqrt{25} = 5
\]
Now raise that result to the third power:
\[
(5)^3 = 125
\]
Thus, the simplified form of \( 25^{3/2} \) is:
\[
\boxed{125}
\]
\[
25^{3/2} = (25^{1/2})^3
\]
First, calculate \( 25^{1/2} \):
\[
25^{1/2} = \sqrt{25} = 5
\]
Now raise that result to the third power:
\[
(5)^3 = 125
\]
Thus, the simplified form of \( 25^{3/2} \) is:
\[
\boxed{125}
\]
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