Question

$$\frac{ 12 { x }^{ 5 } { y }^{ 2 } }{ 15 { x }^{ 4 } { y }^{ 2 } }$$

Answer

(4*x)/5

Solution


Cancel \({y}^{2}\).
\[\frac{12{x}^{5}}{15{x}^{4}}\]
Take out the constants.
\[\frac{12}{15}\times \frac{{x}^{5}}{{x}^{4}}\]
Simplify  \(\frac{12}{15}\)  to  \(\frac{4}{5}\).
\[\frac{4}{5}\times \frac{{x}^{5}}{{x}^{4}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[\frac{4{x}^{5-4}}{5}\]
Simplify  \(5-4\)  to  \(1\).
\[\frac{4{x}^{1}}{5}\]
Use Rule of One: \({x}^{1}=x\).
\[\frac{4x}{5}\]