Solve 1/3{27}^frac{-2{3}}

$$\frac{ 1 }{ 3 } { 27 }^{ \frac{ -2 }{ 3 } }$$

Evaluate

$$\frac{1}{27}\approx 0.037037037$$

Solution Steps

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

$$\frac{1}{3}\times 27^{-\frac{2}{3}}$$

Calculate 27 to the power of -\frac{2}{3} and get \frac{1}{9}.

$$\frac{1}{3}\times \frac{1}{9}$$

Multiply \frac{1}{3} and \frac{1}{9} to get \frac{1}{27}.

$$\frac{1}{27}$$

Factor

$$\frac{1}{3 ^ {3}} = 0.037037037037037035$$