Question

Choose the correct simplification of the expression ( 4x/y)^2.

Answer options can be found in photo!

Answer 1

`\large\displaystyle\text{$\begin{gathered}\sf \left((4x)/(y)\right)^(2) \end{gathered}$}`

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

`\large\displaystyle\text{$\begin{gathered}\sf ((4x)^(2) )/(y^(2) ) \end{gathered}$}`

Expand (4x)².

`\large\displaystyle\text{$\begin{gathered}\sf (4^(2) x^(2) )/(y^(2) ) \end{gathered}$}`

Calculates 4 to the power of 2 and gets 16.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf (16x^(2) )/(y^(2) ) \end{gathered}$} }`