Solve {125}^frac{2{3}}-{81}^frac{3{4}}+{32}^frac{4{5}}

$${ 125 }^{ \frac{ 2 }{ 3 } } - { 81 }^{ \frac{ 3 }{ 4 } } + { 32 }^{ \frac{ 4 }{ 5 } }$$

Evaluate

$$14$$

Solution Steps

Calculate 125 to the power of \frac{2}{3} and get 25.

$$25-81^{\frac{3}{4}}+32^{\frac{4}{5}}$$

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

$$25-27+32^{\frac{4}{5}}$$

Subtract 27 from 25 to get -2.

$$-2+32^{\frac{4}{5}}$$

Calculate 32 to the power of \frac{4}{5} and get 16.

$$-2+16$$

Add -2 and 16 to get 14.

$$14$$

Factor

$$2\times 7$$