Solve (5a^frac{2{3}})^2

$$( 5 a ^ { \frac { 2 } { 3 } } ) ^ { 2 }$$

Evaluate

$$25a^{\frac{4}{3}}$$

Solution Steps

Expand \left(5a^{\frac{2}{3}}\right)^{2}.

$$5^{2}\left(a^{\frac{2}{3}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{3} and 2 to get \frac{4}{3}.

$$5^{2}a^{\frac{4}{3}}$$

Calculate 5 to the power of 2 and get 25.

$$25a^{\frac{4}{3}}$$

Expand

$$25a^{\frac{4}{3}}$$

Solution Steps

Expand \left(5a^{\frac{2}{3}}\right)^{2}.

$$5^{2}\left(a^{\frac{2}{3}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{3} and 2 to get \frac{4}{3}.

$$5^{2}a^{\frac{4}{3}}$$

Calculate 5 to the power of 2 and get 25.

$$25a^{\frac{4}{3}}$$