Simplify the expression. Assume that all variables represent positive real numbers.
-$\left(\frac{25}{9}\right)^{-3 / 2}$

A) $\frac{9}{25}$

B) $\frac{125}{27}$

C) $\frac{27}{125}$

D) $\frac{25}{9}$

Question

Simplify the expression. Assume that all variables represent positive real numbers.
-$\left(\frac{25}{9}\right)^{-3 / 2}$

A) $\frac{9}{25}$

B) $\frac{125}{27}$

C) $\frac{27}{125}$

D) $\frac{25}{9}$

Quizplus · Accepted Answer

The expression $\left(\frac{25}{9}\right)^{-3 / 2}$ simplifies to $\left(\frac{9}{25}\right)^{3 / 2}$ when the exponent is negative, which further simplifies to $\left(\frac{3}{5}\right)^3 = \frac{27}{125}$.

Simplify the Expression (259)−3/2\left(\frac{25}{9}\right)^{-3 / 2}(925​)−3/2 A) 925\frac{9}{25}259​ B) 12527\frac{125}{27}27125​ C) 27125\frac{27}{125}12527​ D) 259\frac{25}{9}925​

Simplify the Expression $\left(\frac{25}{9}\right)^{-3 / 2}$ A) $\frac{9}{25}$ B) $\frac{125}{27}$ C) $\frac{27}{125}$ D) $\frac{25}{9}$