Solve 2sqrt{2^-6}

$$2 \sqrt { 2 ^ { - 6 } }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate 2 to the power of -6 and get \frac{1}{64}.

$$2\sqrt{\frac{1}{64}}$$

Rewrite the square root of the division \frac{1}{64} as the division of square roots \frac{\sqrt{1}}{\sqrt{64}}. Take the square root of both numerator and denominator.

$$2\times \frac{1}{8}$$

Multiply 2 and \frac{1}{8} to get \frac{1}{4}.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$