Solve (2a^frac{4{7}})^4

$$( 2 a ^ { \frac { 4 } { 7 } } ) ^ { 4 }$$

Evaluate

$$16a^{\frac{16}{7}}$$

Solution Steps

Expand \left(2a^{\frac{4}{7}}\right)^{4}.

$$2^{4}\left(a^{\frac{4}{7}}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{7} and 4 to get \frac{16}{7}.

$$2^{4}a^{\frac{16}{7}}$$

Calculate 2 to the power of 4 and get 16.

$$16a^{\frac{16}{7}}$$

Expand

$$16a^{\frac{16}{7}}$$

Solution Steps

Expand \left(2a^{\frac{4}{7}}\right)^{4}.

$$2^{4}\left(a^{\frac{4}{7}}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{7} and 4 to get \frac{16}{7}.

$$2^{4}a^{\frac{16}{7}}$$

Calculate 2 to the power of 4 and get 16.

$$16a^{\frac{16}{7}}$$