Solve (6*10^-5)div(3*10^4)

$$( 6 \times 10 ^ { - 5 } ) \div ( 3 \times 10 ^ { 4 } )$$

Evaluate

$$\frac{1}{500000000}=2 \cdot 10^{-9}$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 10^{-5}}{10^{4}}$$

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

$$\frac{2}{10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{2}{1000000000}$$

Reduce the fraction \frac{2}{1000000000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{500000000}$$

Factor

$$\frac{1}{2 ^ {8} \cdot 5 ^ {9}} = 2 \times 10^{-9}$$