Solve 6*885*10^-12*14*10^-4/14*10^-9=

$$\frac{ 6 \times 885 \times { 10 }^{ -12 } \times 14 \times { 10 }^{ -4 } }{ 14 \times { 10 }^{ -9 } } =$$

Evaluate

$$\frac{531}{1000000}=0.000531$$

Solution Steps

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

$$\frac{6\times 885\times 10^{-16}\times 14}{14\times 10^{-9}}$$

Cancel out 2\times 7 in both numerator and denominator.

$$\frac{2\times 3\times 885\times 10^{-16}}{10^{-9}}$$

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

$$\frac{2\times 3\times 885}{10^{7}}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 885}{10^{7}}$$

Multiply 6 and 885 to get 5310.

$$\frac{5310}{10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{5310}{10000000}$$

Reduce the fraction \frac{5310}{10000000} to lowest terms by extracting and canceling out 10.

$$\frac{531}{1000000}$$

Factor

$$\frac{3 ^ {2} \cdot 59}{2 ^ {6} \cdot 5 ^ {6}} = 0.000531$$