Solve 324*64*10^-9/48*12*10^-5

$$\frac { 324 \times 64 \times 10 ^ { - 9 } } { 48 \times 12 \times 10 ^ { - 5 } }$$

Evaluate

$$\frac{9}{2500}=0.0036$$

Solution Steps

Cancel out 3\times 4\times 4\times 12 in both numerator and denominator.

$$\frac{4\times 9\times 10^{-9}}{10^{-5}}$$

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

$$\frac{4\times 9}{10^{4}}$$

Multiply 4 and 9 to get 36.

$$\frac{36}{10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{36}{10000}$$

Reduce the fraction \frac{36}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{9}{2500}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5 ^ {4}} = 0.0036$$