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

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

Evaluate

$$x^{2}y^{4}$$

Solution Steps

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

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

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

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

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

$$x^{2}y^{4}$$

Expand

$$x^{2}y^{4}$$

Solution Steps

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

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

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

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

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

$$x^{2}y^{4}$$