Solve {left({left(1/2right)}^2right)}^4

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

Evaluate

$$\frac{1}{256}=0.00390625$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

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

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

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

Multiply 2 times 4.

$$\left(\frac{1}{2}\right)^{8}$$

Raise \frac{1}{2} to the power 8.

$$\frac{1}{256}$$

Factor

$$\frac{1}{2 ^ {8}} = 0.00390625$$