Solve (4y^frac{2{7}})^3

$$( 4 y ^ { \frac { 2 } { 7 } } ) ^ { 3 }$$

Evaluate

$$64y^{\frac{6}{7}}$$

Solution Steps

Expand \left(4y^{\frac{2}{7}}\right)^{3}.

$$4^{3}\left(y^{\frac{2}{7}}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{7} and 3 to get \frac{6}{7}.

$$4^{3}y^{\frac{6}{7}}$$

Calculate 4 to the power of 3 and get 64.

$$64y^{\frac{6}{7}}$$

Expand

$$64y^{\frac{6}{7}}$$

Solution Steps

Expand \left(4y^{\frac{2}{7}}\right)^{3}.

$$4^{3}\left(y^{\frac{2}{7}}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{7} and 3 to get \frac{6}{7}.

$$4^{3}y^{\frac{6}{7}}$$

Calculate 4 to the power of 3 and get 64.

$$64y^{\frac{6}{7}}$$