Question

Which is the correct simplified form of the expression

Answer 1

Answer:

$\frac{x^\frac{1}{4}}{y^\frac{5}{6}}$

Step-by-step explanation:

$\frac{x^\frac{1}{2}y^\frac{-1}{3}}{x^\frac{1}{4}y^\frac{1}{2}}$

To simplify the exponent we apply exponential property

$\frac{a^m}{a^n} =a^{m-n}$

$\frac{x^\frac{1}{2}}{x^\frac{1}{4}}=x^{\frac{1}{2} -\frac{1}{4}}=x^\frac{1}{4}$

$\frac{y^\frac{-1}{3}}{y^\frac{1}{2}}=x^{\frac{-1}{3} -\frac{1}{2}}=x^-\frac{5}{6}$

$x^\frac{1}{4} y^-\frac{5}{6}$

$\frac{x^\frac{1}{4}}{y^\frac{5}{6}}$

Answer 2

The answer to the question is a