Solve (4*10^-6)^2*0.3/9.375*10^3

$$\frac { ( 4 \times 10 ^ { - 6 } ) ^ { 2 } \times 0.3 } { 9.375 \times 10 ^ { 3 } }$$

Evaluate

$$0.000000000000000512$$

Solution Steps

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

$$\frac{\left(4\times \frac{1}{1000000}\right)^{2}\times 0.3}{9.375\times 10^{3}}$$

Multiply 4 and \frac{1}{1000000} to get \frac{1}{250000}.

$$\frac{\left(\frac{1}{250000}\right)^{2}\times 0.3}{9.375\times 10^{3}}$$

Calculate \frac{1}{250000} to the power of 2 and get \frac{1}{62500000000}.

$$\frac{\frac{1}{62500000000}\times 0.3}{9.375\times 10^{3}}$$

Multiply \frac{1}{62500000000} and 0.3 to get \frac{3}{625000000000}.

$$\frac{\frac{3}{625000000000}}{9.375\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\frac{3}{625000000000}}{9.375\times 1000}$$

Multiply 9.375 and 1000 to get 9375.

$$\frac{\frac{3}{625000000000}}{9375}$$

Express \frac{\frac{3}{625000000000}}{9375} as a single fraction.

$$\frac{3}{625000000000\times 9375}$$

Multiply 625000000000 and 9375 to get 5859375000000000.

$$\frac{3}{5859375000000000}$$

Reduce the fraction \frac{3}{5859375000000000} to lowest terms by extracting and canceling out 3.

$$\frac{1}{1953125000000000}$$

Factor

$$\frac{1}{2 ^ {9} \cdot 5 ^ {18}} = 5.12 \times 10^{-16}$$