Solve (2^frac{1{2}})^-3

$$( 2 ^ { \frac { 1 } { 2 } } ) ^ { - 3 }$$

Evaluate

$$\frac{\sqrt{2}}{4}\approx 0.353553391$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(\sqrt{2}\right)^{-3}$$

To raise a power to another power, multiply the exponents.

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

Multiply \frac{1}{2} times -3.

$$2^{-\frac{3}{2}}$$

Raise 2 to the power -\frac{3}{2}.

$$\frac{\sqrt{2}}{4}$$