Solve 5010^-10div510^-10

$$50 { 10 }^{ -10 } \div 5 { 10 }^{ -10 }$$

Evaluate

$$\frac{1}{10000000000000000000}= 10^{-19}$$

Solution Steps

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{50\times \frac{1}{10000000000}}{5}\times 10^{-10}$$

Multiply 50 and \frac{1}{10000000000} to get \frac{1}{200000000}.

$$\frac{\frac{1}{200000000}}{5}\times 10^{-10}$$

Express \frac{\frac{1}{200000000}}{5} as a single fraction.

$$\frac{1}{200000000\times 5}\times 10^{-10}$$

Multiply 200000000 and 5 to get 1000000000.

$$\frac{1}{1000000000}\times 10^{-10}$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{1}{1000000000}\times \frac{1}{10000000000}$$

Multiply \frac{1}{1000000000} and \frac{1}{10000000000} to get \frac{1}{10000000000000000000}.

$$\frac{1}{10000000000000000000}$$

Factor

$$\frac{1}{2 ^ {19} \cdot 5 ^ {19}} = 1 \times 10^{-19}$$