Solve (2401/625)^frac{-3{2}}

$$( \frac { 2401 } { 625 } ) ^ { \frac { - 3 } { 2 } }$$

Evaluate

$$\frac{15625}{117649}\approx 0.132810309$$

Solution Steps

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

$$\left(\frac{2401}{625}\right)^{-\frac{3}{2}}$$

Calculate \frac{2401}{625} to the power of -\frac{3}{2} and get \frac{15625}{117649}.

$$\frac{15625}{117649}$$

Factor

$$\frac{5 ^ {6}}{7 ^ {6}} = 0.13281030862990761$$