Solve 1.6*10^-7/2*10^6

$$\frac { 1.6 \times 10 ^ { - 7 } } { 2 \times 10 ^ { 6 } }$$

Evaluate

$$0.00000000000008$$

Solution Steps

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

$$\frac{1.6}{2\times 10^{13}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{1.6}{2\times 10000000000000}$$

Multiply 2 and 10000000000000 to get 20000000000000.

$$\frac{1.6}{20000000000000}$$

Expand \frac{1.6}{20000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{16}{200000000000000}$$

Reduce the fraction \frac{16}{200000000000000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{12500000000000}$$

Factor

$$\frac{1}{2 ^ {11} \cdot 5 ^ {14}} = 8 \times 10^{-14}$$