Question

I need help with this math problem please and thank you! It’s algebra 1

Answer 1

A.

`(2y^4)/(x^4)`

Explanation:

We have the following expression:

`(14x^4y^6)/(7x^8y^2)`

We simplify and we are left with the following:

`\begin{gathered} \text{ We follow the following property:} \\ \\ (x^a)/(x^b)=x^(a-b) \\ \\ \text{ Therefore:} \\ \\ (14)/(7)=2 \\ \\ (x^4)/(x^8)=x^(4-8)=x^(-4)=(1)/(x^4) \\ \\ (y^6)/(y^2)=y^(6-2)=y^4 \\ \\ (14x^4y^6)/(7x^8y^2)=2\cdot y^4\cdot(1)/(x^4)=(2y^4)/(x^4) \end{gathered}`

The correct option is then A