Solve 10*10^-14/50*10^-2=

$$\frac{ 10 \times { 10 }^{ -14 } }{ 50 \times { 10 }^{ -2 } } =$$

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -14 to get -13.

$$\frac{10^{-13}}{50\times 10^{-2}}$$

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

$$\frac{1}{50\times 10^{11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{1}{50\times 100000000000}$$

Multiply 50 and 100000000000 to get 5000000000000.

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

Factor

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