Simplify the following expression. Express your answer using the same notation as the original expression.

Question

asked Jun 25, 2023 219k views

1 Answer

Haswin · Answer 1 · 2023-06-28T21:42:02+0000

The Solution:

The correct answer is:

$\frac{y^{(8)/(3)}}{x^{(1)/(2)}}$

Step-by-step explanation:

Given the expression below:

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

We are required to simplify the above expression using the same notation.

$\frac{y^{(4)/(3)}* x^{(1)/(2)}}{y^{-(4)/(3)}* x}=\frac{y^{(4)/(3)}}{y^{-(4)/(3)}}*\frac{x^{(1)/(2)}}{x^1}$

This becomes

$y^{(4)/(3)--(4)/(3)}* x^{(1)/(2)-1}=y^{(8)/(3)}* x^{-(1)/(2)}$

So we have,

$\frac{y^{(8)/(3)}}{x^{(1)/(2)}}$

Therefore, the correct answer is

$\frac{y^{(8)/(3)}}{x^{(1)/(2)}}$