Verified Answer :

Answer:

\(\frac{2x^{-4}}{3xy}=\frac{2}{3x^5y}\)

Step-by-step explanation:

Simplify: 2x^-4/3xy

\(\frac{2x^{-4}}{3xy}\)

To simplify it we use exponential property

\(\frac{a^m}{a^n} =a^{m-n}\)

we can simplify x

\(\frac{x^{-4}}{x^1} =x^{-4-1}=x^{-5}\)

\(\frac{2x^{-4}}{3xy}=\frac{2x^{-5}}{3y}\)

Now we take reciprocal to remove negative. we move x^-5 to the denominator

\(\frac{2x^{-4}}{3xy}=\frac{2}{3x^5y}\)