Solve (-27/64)^frac{-1{3}}

$$( - \frac { 27 } { 64 } ) ^ { \frac { - 1 } { 3 } }$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\left(-\frac{27}{64}\right)^{-\frac{1}{3}}$$

Calculate -\frac{27}{64} to the power of -\frac{1}{3} and get -\frac{4}{3}.

$$-\frac{4}{3}$$

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$