Solve 2.4*10^-10/8*10^12

$$\frac { 2.4 \times 10 ^ { - 10 } } { 8 \times 10 ^ { 12 } }$$

Evaluate

$$0.00000000000000000000003$$

Solution Steps

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

$$\frac{2.4}{8\times 10^{22}}$$

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$\frac{2.4}{8\times 10000000000000000000000}$$

Multiply 8 and 10000000000000000000000 to get 80000000000000000000000.

$$\frac{2.4}{80000000000000000000000}$$

Expand \frac{2.4}{80000000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{24}{800000000000000000000000}$$

Reduce the fraction \frac{24}{800000000000000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{3}{100000000000000000000000}$$

Factor

$$\frac{3}{2 ^ {23} \cdot 5 ^ {23}} = 3 \times 10^{-23}$$