Solve 6*8.85*10^-12*14*10^-4/1.4*10^-9=

$$\frac{ 6 \times 8.85 \times { 10 }^{ -12 } \times 14 \times { 10 }^{ -4 } }{ 1.4 \times { 10 }^{ -9 } } =$$

Evaluate

$$0.0000531$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -12 and -4 to get -16.

$$\frac{6\times 8.85\times 10^{-16}\times 14}{1.4\times 10^{-9}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{6\times 8.85\times 14}{1.4\times 10^{7}}$$

Multiply 6 and 8.85 to get 53.1.

$$\frac{53.1\times 14}{1.4\times 10^{7}}$$

Multiply 53.1 and 14 to get 743.4.

$$\frac{743.4}{1.4\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{743.4}{1.4\times 10000000}$$

Multiply 1.4 and 10000000 to get 14000000.

$$\frac{743.4}{14000000}$$

Expand \frac{743.4}{14000000} by multiplying both numerator and the denominator by 10.

$$\frac{7434}{140000000}$$

Reduce the fraction \frac{7434}{140000000} to lowest terms by extracting and canceling out 14.

$$\frac{531}{10000000}$$

Factor

$$\frac{59 \cdot 3 ^ {2}}{2 ^ {7} \cdot 5 ^ {7}} = 5.31 \times 10^{-5}$$