Solve 2.18*10^-18/8.72*10^-2

$$\frac { 2.18 \times 10 ^ { - 18 } } { 8.72 \times 10 ^ { - 2 } }$$

Evaluate

$$0.000000000000000025$$

Solution Steps

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

$$\frac{2.18}{8.72\times 10^{16}}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{2.18}{8.72\times 10000000000000000}$$

Multiply 8.72 and 10000000000000000 to get 87200000000000000.

$$\frac{2.18}{87200000000000000}$$

Expand \frac{2.18}{87200000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{218}{8720000000000000000}$$

Reduce the fraction \frac{218}{8720000000000000000} to lowest terms by extracting and canceling out 218.

$$\frac{1}{40000000000000000}$$

Factor

$$\frac{1}{2 ^ {18} \cdot 5 ^ {16}} = 2.4999999999999996 \times 10^{-17}$$