Question
Simplify to a single power of 5:
left parenthesis, 5, to the power 4 , right parenthesis, cubed
(5
4
)
3
left parenthesis, 5, to the power 4 , right parenthesis, cubed
(5
4
)
3
Answers
GPT-4o mini
To simplify \((5^4)^3\), you can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\).
Applying this property, we have:
\[
(5^4)^3 = 5^{4 \cdot 3} = 5^{12}
\]
Thus, the simplified expression is:
\[
\boxed{5^{12}}
\]
Applying this property, we have:
\[
(5^4)^3 = 5^{4 \cdot 3} = 5^{12}
\]
Thus, the simplified expression is:
\[
\boxed{5^{12}}
\]