Solve -(9/25)^frac{-3{2}}

$$- ( \frac { 9 } { 25 } ) ^ { \frac { - 3 } { 2 } }$$

Evaluate

$$-\frac{125}{27}\approx -4.62962963$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$-\left(\frac{9}{25}\right)^{-\frac{3}{2}}$$

Calculate \frac{9}{25} to the power of -\frac{3}{2} and get \frac{125}{27}.

$$-\frac{125}{27}$$

Factor

$$-\frac{125}{27} = -4\frac{17}{27} = -4.62962962962963$$