Solve left(7*10^-6right)^2/16*10^-6

$$\frac{ { \left(7 \times { 10 }^{ -6 } \right) }^{ 2 } }{ 16 \times { 10 }^{ -6 } }$$

Evaluate

$$\frac{49}{16000000}=0.000003062$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\left(7\times \frac{1}{1000000}\right)^{2}}{16\times 10^{-6}}$$

Multiply 7 and \frac{1}{1000000} to get \frac{7}{1000000}.

$$\frac{\left(\frac{7}{1000000}\right)^{2}}{16\times 10^{-6}}$$

Calculate \frac{7}{1000000} to the power of 2 and get \frac{49}{1000000000000}.

$$\frac{\frac{49}{1000000000000}}{16\times 10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{49}{1000000000000}}{16\times \frac{1}{1000000}}$$

Multiply 16 and \frac{1}{1000000} to get \frac{1}{62500}.

$$\frac{\frac{49}{1000000000000}}{\frac{1}{62500}}$$

Divide \frac{49}{1000000000000} by \frac{1}{62500} by multiplying \frac{49}{1000000000000} by the reciprocal of \frac{1}{62500}.

$$\frac{49}{1000000000000}\times 62500$$

Multiply \frac{49}{1000000000000} and 62500 to get \frac{49}{16000000}.

$$\frac{49}{16000000}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {10} \cdot 5 ^ {6}} = 3.0625 \times 10^{-6}$$