Solve (3x^frac{1{4}})^2

$$( 3 x ^ { \frac { 1 } { 4 } } ) ^ { 2 }$$

Evaluate

$$9\sqrt{x}$$

Solution Steps

Expand \left(3x^{\frac{1}{4}}\right)^{2}.

$$3^{2}\left(x^{\frac{1}{4}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{4} and 2 to get \frac{1}{2}.

$$3^{2}x^{\frac{1}{2}}$$

Calculate 3 to the power of 2 and get 9.

$$9x^{\frac{1}{2}}$$

Expand

$$9\sqrt{x}$$

Solution Steps

Expand \left(3x^{\frac{1}{4}}\right)^{2}.

$$3^{2}\left(x^{\frac{1}{4}}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{4} and 2 to get \frac{1}{2}.

$$3^{2}x^{\frac{1}{2}}$$

Calculate 3 to the power of 2 and get 9.

$$9x^{\frac{1}{2}}$$