Solve 6*10^-7/8*10^-8

$$\frac { 6 \times 10 ^ { - 7 } } { 8 \times 10 ^ { - 8 } }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 10^{-7}}{4\times 10^{-8}}$$

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

$$\frac{3\times 10^{1}}{4}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{3\times 10}{4}$$

Multiply 3 and 10 to get 30.

$$\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$