Solve sqrt{1*32*10^-15/0.05}

$$\sqrt { \frac { 1 \cdot 32 \times 10 ^ { - 15 } } { 0.05 } }$$

Evaluate

$$0.0000008$$

Solution Steps

Multiply 1 and 32 to get 32.

$$\sqrt{\frac{32\times 10^{-15}}{0.05}}$$

Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.

$$\sqrt{\frac{32\times \frac{1}{1000000000000000}}{0.05}}$$

Multiply 32 and \frac{1}{1000000000000000} to get \frac{1}{31250000000000}.

$$\sqrt{\frac{\frac{1}{31250000000000}}{0.05}}$$

Express \frac{\frac{1}{31250000000000}}{0.05} as a single fraction.

$$\sqrt{\frac{1}{31250000000000\times 0.05}}$$

Multiply 31250000000000 and 0.05 to get 1562500000000.

$$\sqrt{\frac{1}{1562500000000}}$$

Rewrite the square root of the division \frac{1}{1562500000000} as the division of square roots \frac{\sqrt{1}}{\sqrt{1562500000000}}. Take the square root of both numerator and denominator.

$$\frac{1}{1250000}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5 ^ {7}} = 8 \times 10^{-7}$$