Question

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

Answer 1

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)}}`