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

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$