Question
What is the simplest form of 125^1/3
Answers
GPT-4o mini
To simplify \( 125^{1/3} \), we need to find the cube root of 125.
Since \( 125 = 5^3 \), we can rewrite \( 125^{1/3} \) as:
\[
(5^3)^{1/3}
\]
Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we get:
\[
5^{3 \cdot (1/3)} = 5^1 = 5
\]
Thus, the simplest form of \( 125^{1/3} \) is:
\[
\boxed{5}
\]
Since \( 125 = 5^3 \), we can rewrite \( 125^{1/3} \) as:
\[
(5^3)^{1/3}
\]
Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we get:
\[
5^{3 \cdot (1/3)} = 5^1 = 5
\]
Thus, the simplest form of \( 125^{1/3} \) is:
\[
\boxed{5}
\]