Solve (-1/32)^-frac{2{5}}-8^frac{2{3}}+81^frac{3{4}}

$$( - \frac { 1 } { 32 } ) ^ { - \frac { 2 } { 5 } } - 8 ^ { \frac { 2 } { 3 } } + 81 ^ { \frac { 3 } { 4 } }$$

Evaluate

$$27$$

Solution Steps

Calculate -\frac{1}{32} to the power of -\frac{2}{5} and get 4.

$$4-8^{\frac{2}{3}}+81^{\frac{3}{4}}$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$4-4+81^{\frac{3}{4}}$$

Subtract 4 from 4 to get 0.

$$0+81^{\frac{3}{4}}$$

Calculate 81 to the power of \frac{3}{4} and get 27.

$$0+27$$

Add 0 and 27 to get 27.

$$27$$

Factor

$$3^{3}$$