Question

$$\frac{ 2x }{ 6 { x }^{ 2 } }$$

Answer

1/(3*x)

Solution


Take out the constants.
\[\frac{2}{6}\times \frac{x}{{x}^{2}}\]
Simplify  \(\frac{2}{6}\)  to  \(\frac{1}{3}\).
\[\frac{1}{3}\times \frac{x}{{x}^{2}}\]
Simplify.
\[\frac{x}{3{x}^{2}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[\frac{{x}^{1-2}}{3}\]
Simplify  \(1-2\)  to  \(-1\).
\[\frac{{x}^{-1}}{3}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{\frac{1}{x}}{3}\]
Simplify.
\[\frac{1}{3x}\]