Solve (10/110)^5*12/110)div(10/110)^6=

$$( \frac { 10 } { 110 } ) ^ { 5 } \cdot \frac { 12 } { 110 } ) \div ( \frac { 10 } { 110 } ) ^ { 6 } =$$

Evaluate

$$\frac{6}{8857805}\approx 0.000000677$$

Solution Steps

Reduce the fraction \frac{10}{110} to lowest terms by extracting and canceling out 10.

$$\left(\frac{1}{11}\right)^{5}\times \frac{12}{110}$$

Calculate \frac{1}{11} to the power of 5 and get \frac{1}{161051}.

$$\frac{1}{161051}\times \frac{12}{110}$$

Reduce the fraction \frac{12}{110} to lowest terms by extracting and canceling out 2.

$$\frac{1}{161051}\times \frac{6}{55}$$

Multiply \frac{1}{161051} and \frac{6}{55} to get \frac{6}{8857805}.

$$\frac{6}{8857805}$$

Factor

$$\frac{2 \cdot 3}{5 \cdot 11 ^ {6}} = 6.773687160645329 \times 10^{-7}$$