Solve =7.2*10^-3/8.1*10^-3*630*10^-9

$$= \frac { 7.2 \times 10 ^ { - 3 } } { 8.1 \times 10 ^ { - 3 } } \times 630 \times 10 ^ { - 9 }$$

Evaluate

$$0.00000056$$

Solution Steps

Cancel out 10^{-3} in both numerator and denominator.

$$\frac{7.2}{8.1}\times 630\times 10^{-9}$$

Expand \frac{7.2}{8.1} by multiplying both numerator and the denominator by 10.

$$\frac{72}{81}\times 630\times 10^{-9}$$

Reduce the fraction \frac{72}{81} to lowest terms by extracting and canceling out 9.

$$\frac{8}{9}\times 630\times 10^{-9}$$

Multiply \frac{8}{9} and 630 to get 560.

$$560\times 10^{-9}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$560\times \frac{1}{1000000000}$$

Multiply 560 and \frac{1}{1000000000} to get \frac{7}{12500000}.

$$\frac{7}{12500000}$$

Factor

$$\frac{7}{2 ^ {5} \cdot 5 ^ {8}} = 5.6000000000000005 \times 10^{-7}$$