Solve {left({2}^-frac{1{2}}right)}^-1

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

Evaluate

$$\sqrt{2}\approx 1.414213562$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\frac{1}{2^{-\frac{1}{2}}}$$

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

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

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

$$\sqrt{2}$$