Question

$$\frac{ 6 }{ 5/ { 5 }^{ 2 } 693636 }$$

Answer

5/115606

Solution


Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[\frac{6}{{5}^{1-2}\times 693636}\]
Simplify  \(1-2\)  to  \(-1\).
\[\frac{6}{{5}^{-1}\times 693636}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{6}{\frac{1}{5}\times 693636}\]
Simplify  \(\frac{1}{5}\times 693636\)  to  \(\frac{693636}{5}\).
\[\frac{6}{\frac{693636}{5}}\]
Invert and multiply.
\[6\times \frac{5}{693636}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{6\times 5}{693636}\]
Simplify  \(6\times 5\)  to  \(30\).
\[\frac{30}{693636}\]
Simplify.
\[\frac{5}{115606}\]