Solve 1.0*10^-14/5.0*10^-2=

$$\frac{ 1.0 \times { 10 }^{ -14 } }{ 5.0 \times { 10 }^{ -2 } } =$$

Evaluate

$$\frac{1}{5000000000000}=2 \cdot 10^{-13}$$

Solution Steps

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

$$\frac{1}{5\times 10^{12}}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1}{5\times 1000000000000}$$

Multiply 5 and 1000000000000 to get 5000000000000.

$$\frac{1}{5000000000000}$$

Factor

$$\frac{1}{2 ^ {12} \cdot 5 ^ {13}} = 2 \times 10^{-13}$$