Simplify the expression. $32 ^ { \frac { 2 } { 5 } }$
A) 4
B) 3,125
C) 25
D) 1
E) 32

Name: Simplify the expression. $32 ^ { \frac { 2 } { 5 } }$ A) 4 B) 3,125 C) 25 D) 1 E) 32
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Question

Quizplus · Accepted Answer

$32^{\frac{2}{5}}$ simplifies to $2^{10 \times \frac{2}{5}} = 2^4 = 16$, which is not listed. However, the correct approach is $32 = 2^5$, so $32^{\frac{2}{5}} = (2^5)^{\frac{2}{5}} = 2^{5 \times \frac{2}{5}} = 2^2 = 4$.

Simplify the Expression 322532 ^ { \frac { 2 } { 5 } }3252​

Simplify the Expression $32 ^ { \frac { 2 } { 5 } }$