Solve 8.85*10^-12*1*0.04/0.009

$$\frac{ 8.85 \times { 10 }^{ -12 } \times 1 \times 0.04 }{ 0.009 }$$

Evaluate

$$\frac{59}{1500000000000}\approx 3.933333333 \cdot 10^{-11}$$

Solution Steps

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

$$\frac{8.85\times \frac{1}{1000000000000}\times 1\times 0.04}{0.009}$$

Multiply 8.85 and \frac{1}{1000000000000} to get \frac{177}{20000000000000}.

$$\frac{\frac{177}{20000000000000}\times 1\times 0.04}{0.009}$$

Multiply \frac{177}{20000000000000} and 1 to get \frac{177}{20000000000000}.

$$\frac{\frac{177}{20000000000000}\times 0.04}{0.009}$$

Multiply \frac{177}{20000000000000} and 0.04 to get \frac{177}{500000000000000}.

$$\frac{\frac{177}{500000000000000}}{0.009}$$

Express \frac{\frac{177}{500000000000000}}{0.009} as a single fraction.

$$\frac{177}{500000000000000\times 0.009}$$

Multiply 500000000000000 and 0.009 to get 4500000000000.

$$\frac{177}{4500000000000}$$

Reduce the fraction \frac{177}{4500000000000} to lowest terms by extracting and canceling out 3.

$$\frac{59}{1500000000000}$$

Factor

$$\frac{59}{3 \cdot 2 ^ {11} \cdot 5 ^ {12}} = 3.9333333333333336 \times 10^{-11}$$