Solve 3.6*10^-6/12*10^-4

$$\frac{ 3.6 \times { 10 }^{ -6 } }{ 12 \times { 10 }^{ -4 } }$$

Evaluate

$$0.003$$

Solution Steps

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

$$\frac{3.6}{12\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3.6}{12\times 100}$$

Multiply 12 and 100 to get 1200.

$$\frac{3.6}{1200}$$

Expand \frac{3.6}{1200} by multiplying both numerator and the denominator by 10.

$$\frac{36}{12000}$$

Reduce the fraction \frac{36}{12000} to lowest terms by extracting and canceling out 12.

$$\frac{3}{1000}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 5 ^ {3}} = 0.003$$