Solve (x^frac{3{4}}*y^frac{5{4}})^2

$$( x ^ { \frac { 3 } { 4 } } \cdot y ^ { \frac { 5 } { 4 } } ) ^ { 2 }$$

Evaluate

$$x^{\frac{3}{2}}y^{\frac{5}{2}}$$

Solution Steps

Expand \left(x^{\frac{3}{4}}y^{\frac{5}{4}}\right)^{2}.

$$\left(x^{\frac{3}{4}}\right)^{2}\left(y^{\frac{5}{4}}\right)^{2}$$

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

$$x^{\frac{3}{2}}\left(y^{\frac{5}{4}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{5}{4} and 2 to get \frac{5}{2}.

$$x^{\frac{3}{2}}y^{\frac{5}{2}}$$

Expand

$$x^{\frac{3}{2}}y^{\frac{5}{2}}$$

Solution Steps

Expand \left(x^{\frac{3}{4}}y^{\frac{5}{4}}\right)^{2}.

$$\left(x^{\frac{3}{4}}\right)^{2}\left(y^{\frac{5}{4}}\right)^{2}$$

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

$$x^{\frac{3}{2}}\left(y^{\frac{5}{4}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{5}{4} and 2 to get \frac{5}{2}.

$$x^{\frac{3}{2}}y^{\frac{5}{2}}$$