Solve 10^-55*10^-3/10^-2

$${ 10 }^{ -5 } \frac { 5 \times { 10 }^{ -3 } } { { 10 }^{ -2 } }$$

Evaluate

$$\frac{1}{200000}=0.000005$$

Solution Steps

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{1}{100000}\times \frac{5\times 10^{-3}}{10^{-2}}$$

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

$$\frac{1}{100000}\times \frac{5}{10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1}{100000}\times \frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{100000}\times \frac{1}{2}$$

Multiply \frac{1}{100000} and \frac{1}{2} to get \frac{1}{200000}.

$$\frac{1}{200000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {5}} = 5.000000000000001 \times 10^{-6}$$