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

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Choose the correct simplification of the expression ( 4x/y)^2. Answer options can-example-1
User Roim
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1 Answer

6 votes


\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{$\begin{gathered}\sf (16x^(2) )/(y^(2) ) \end{gathered}$} }

User An SO User
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