Question

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

Answer 1

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

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

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

Expand (4x)².

$\large\displaystyle\text{ \begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} } \end{gathered} }$

Calculates 4 to the power of 2 and gets 16.

$\boxed{\large\displaystyle\text{ \begin{gathered}\sf \frac{16x^{2} }{y^{2} } \end{gathered} } }$