Solve (25^3)^-frac{1{2}}

$$( 25 ^ { 3 } ) ^ { - \frac { 1 } { 2 } }$$

Evaluate

$$\frac{1}{125}=0.008$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(25^{3}\right)^{-\frac{1}{2}}$$

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

$$25^{3\left(-\frac{1}{2}\right)}$$

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

$$25^{-\frac{3}{2}}$$

Raise 25 to the power -\frac{3}{2}.

$$\frac{1}{125}$$

Factor

$$\frac{1}{5 ^ {3}} = 0.008$$