Solve 5*10^2/4*10^17=

$$\frac { 5 \cdot 10 ^ { 2 } } { 4 \cdot 10 ^ { 17 } } =$$

Evaluate

$$\frac{1}{800000000000000}=1.25 \cdot 10^{-15}$$

Solution Steps

Cancel out 10^{2} in both numerator and denominator.

$$\frac{5}{4\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{5}{4\times 1000000000000000}$$

Multiply 4 and 1000000000000000 to get 4000000000000000.

$$\frac{5}{4000000000000000}$$

Reduce the fraction \frac{5}{4000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{800000000000000}$$

Factor

$$\frac{1}{2 ^ {17} \cdot 5 ^ {14}} = 1.25 \times 10^{-15}$$