Solve (5^frac{1{4}}*5^2)^frac{8{5}}

$$( 5 ^ { \frac { 1 } { 4 } } \times 5 ^ { 2 } ) ^ { \frac { 8 } { 5 } }$$

Evaluate

$$125\times 5^{\frac{3}{5}}\approx 328.31597555$$

Steps for Raising Power to Another Power

To multiply powers of the same base, add their exponents. Add \frac{1}{4} and 2 to get \frac{9}{4}.

$$\left(5^{\frac{9}{4}}\right)^{\frac{8}{5}}$$

To raise a power to another power, multiply the exponents.

$$5^{\frac{9}{4}\times \frac{8}{5}}$$

Multiply \frac{9}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$5^{\frac{18}{5}}$$

Raise 5 to the power \frac{18}{5}.

$$125\times 5^{\frac{3}{5}}$$