Solve {left({3}^frac{1{5}}right)}^4={3}^frac{4{5}}

$${ \left( { 3 }^{ \frac{ 1 }{ 5 } } \right) }^{ 4 } = { 3 }^{ \frac{ 4 }{ 5 } }$$

Verify

Solution Steps

To raise a power to another power, multiply the exponents. Multiply \frac{1}{5} and 4 to get \frac{4}{5}.

$$3^{\frac{4}{5}}=3^{\frac{4}{5}}$$

As 3^{\frac{4}{5}} and 3^{\frac{4}{5}} have the same base, compare them by comparing their exponents.

$$\text{true}$$