Solve 9*102*10^-6/5*10^-2

$$9 \times 10 \frac { 2 \times { 10 }^{ -6 } } { 5 \times { 10 }^{ -2 } }$$

Evaluate

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

Solution Steps

Multiply 9 and 10 to get 90.

$$90\times \frac{2\times 10^{-6}}{5\times 10^{-2}}$$

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

$$90\times \frac{2}{5\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$90\times \frac{2}{5\times 10000}$$

Multiply 5 and 10000 to get 50000.

$$90\times \frac{2}{50000}$$

Reduce the fraction \frac{2}{50000} to lowest terms by extracting and canceling out 2.

$$90\times \frac{1}{25000}$$

Multiply 90 and \frac{1}{25000} to get \frac{9}{2500}.

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

Factor

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