Solve {8}^frac{2{3}}*{16}^-frac{1{2}}*{625}^frac{1{4}}

$${ 8 }^{ \frac{ 2 }{ 3 } } \times { 16 }^{ - \frac{ 1 }{ 2 } } \times { 625 }^{ \frac{ 1 }{ 4 } }$$

Evaluate

$$5$$

Solution Steps

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

$$4\times 16^{-\frac{1}{2}}\times 625^{\frac{1}{4}}$$

Calculate 16 to the power of -\frac{1}{2} and get \frac{1}{4}.

$$4\times \frac{1}{4}\times 625^{\frac{1}{4}}$$

Multiply 4 and \frac{1}{4} to get 1.

$$625^{\frac{1}{4}}$$

Calculate 625 to the power of \frac{1}{4} and get 5.

$$5$$

Factor

$$5$$