Solve [(1/3)^-(frac{1{2})}]^-(frac{1{4})}

$$[ ( \frac { 1 } { 3 } ) ^ { - ( \frac { 1 } { 2 } ) } ] ^ { - ( \frac { 1 } { 4 } ) }$$

Evaluate

$$\frac{3^{\frac{7}{8}}}{3}\approx 0.871685543$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Multiply -\frac{1}{2} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$\sqrt[8]{\frac{1}{3}}$$

Raise \frac{1}{3} to the power \frac{1}{8}.

$$\frac{1}{\sqrt[8]{3}}$$