Solve (27^-frac{1{2}})^-frac{5{2}}

$$( 27 ^ { - \frac { 1 } { 2 } } ) ^ { - \frac { 5 } { 2 } }$$

Evaluate

$$27\times 3^{\frac{3}{4}}\approx 61.546690538$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(27^{-\frac{1}{2}}\right)^{-\frac{5}{2}}$$

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

$$27^{-\frac{1}{2}\left(-\frac{5}{2}\right)}$$

Multiply -\frac{1}{2} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$27^{\frac{5}{4}}$$

Raise 27 to the power \frac{5}{4}.

$$27\times 3^{\frac{3}{4}}$$