The simplest form of \( 125^{1/3} \) is \( 5 \).
This is because \( 125 \) can be expressed as \( 5^3 \), so:
\[ 125^{1/3} = (5^3)^{1/3} = 5^{3 \cdot (1/3)} = 5^1 = 5. \]
Therefore, the correct response is \( 5 \).
?(1 point)
Responses
125−−−√
Start Root 125 End Root
41.66
41.66
1253−−−−√1
root index 1 Start Root 125 cubed End Root
5
1 answer
The simplest form of \( 125^{1/3} \) is \( 5 \).
This is because \( 125 \) can be expressed as \( 5^3 \), so:
\[ 125^{1/3} = (5^3)^{1/3} = 5^{3 \cdot (1/3)} = 5^1 = 5. \]
Therefore, the correct response is \( 5 \).