Question

Hello, I need help with this problem. Picture will be included . Thank youu!

Answer 1

`\begin{gathered} \text{Given} \\ (-7)/(w)=(\square)/(4w^8) \end{gathered}`

Solve for the missing equivalent rational expressions

`\begin{gathered} (-7)/(w)=(\square)/(4w^8) \\ \\ \text{Swap left and right side of equations} \\ (\square)/(4w^8)=(-7)/(w) \\ \\ \text{Multiply both sides by }4w^8\text{ to cancel out the denominator on the left side} \\ (\square)/(4w^8)=(-7)/(w) \\ (\square)/(4w^8)\cdot4w^8=(-7)/(w)\cdot4w^8 \\ \frac{\square}{\cancel{4w^8}}\cdot\cancel{4w^8}=(-28w^8)/(w) \\ \square=(-28w^8)/(w) \\ \\ \text{Simplify the right side of the equation} \\ \square=(-28w^8)/(w) \\ \square=-28w^(8-1) \\ \square=-28w^7 \end{gathered}`
`\begin{gathered} \text{Therefore,} \\ (-7)/(w)=(-28w^7)/(4w^8) \end{gathered}`