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

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

Quizplus · Accepted Answer

The expression $25^{-\frac{3}{2}}$ can be simplified by recognizing that $25 = 5^2$, so the expression becomes $(5^2)^{-\frac{3}{2}} = 5^{-3} = \frac{1}{5^3} = \frac{1}{125}$.

Simplify the Expression 25−3225 ^ { - \frac { 3 } { 2 } }25−23​

Simplify the Expression $25 ^ { - \frac { 3 } { 2 } }$