Solve sqrt{0.16*10^-12}

$$\sqrt { 0.16 \times 10 ^ { - 12 } }$$

Evaluate

$$0.0000004$$

Solution Steps

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\sqrt{0.16\times \frac{1}{1000000000000}}$$

Multiply 0.16 and \frac{1}{1000000000000} to get \frac{1}{6250000000000}.

$$\sqrt{\frac{1}{6250000000000}}$$

Rewrite the square root of the division \frac{1}{6250000000000} as the division of square roots \frac{\sqrt{1}}{\sqrt{6250000000000}}. Take the square root of both numerator and denominator.

$$\frac{1}{2500000}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 5 ^ {7}} = 4 \times 10^{-7}$$