Solve {c}{625^frac{3{4}}+27^frac{2{3}}}{-64^frac{1{3}}}

$$\left. \begin{array} { c } { 625 ^ { \frac { 3 } { 4 } } + 27 ^ { \frac { 2 } { 3 } } } \\ { - 64 ^ { \frac { 1 } { 3 } } } \end{array} \right.$$

Evaluate

$$130$$

Solution Steps

Calculate 625 to the power of \frac{3}{4} and get 125.

$$125+27^{\frac{2}{3}}-64^{\frac{1}{3}}$$

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

$$125+9-64^{\frac{1}{3}}$$

Add 125 and 9 to get 134.

$$134-64^{\frac{1}{3}}$$

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

$$134-4$$

Subtract 4 from 134 to get 130.

$$130$$

Factor

$$2\times 5\times 13$$