Solve (1024^frac{1{5}})^-6

$$( 1024 ^ { \frac { 1 } { 5 } } ) ^ { - 6 }$$

Evaluate

$$\frac{1}{4096}=0.000244141$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(\sqrt[5]{1024}\right)^{-6}$$

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

$$1024^{\frac{1}{5}\left(-6\right)}$$

Multiply \frac{1}{5} times -6.

$$1024^{-\frac{6}{5}}$$

Raise 1024 to the power -\frac{6}{5}.

$$\frac{1}{4096}$$

Factor

$$\frac{1}{2 ^ {12}} = 0.000244140625$$