Solve 10^-2/50^-9

$$\frac { 10 ^ { - 2 } } { 50 ^ { - 9 } }$$

Evaluate

$$19531250000000$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{1}{100}}{50^{-9}}$$

Calculate 50 to the power of -9 and get \frac{1}{1953125000000000}.

$$\frac{\frac{1}{100}}{\frac{1}{1953125000000000}}$$

Divide \frac{1}{100} by \frac{1}{1953125000000000} by multiplying \frac{1}{100} by the reciprocal of \frac{1}{1953125000000000}.

$$\frac{1}{100}\times 1953125000000000$$

Multiply \frac{1}{100} and 1953125000000000 to get 19531250000000.

$$19531250000000$$

Factor

$$2^{7}\times 5^{16}$$