Answer:
(c) statement is correct.
The correct simplification of the expression the quantity 4 times x all over y all to the second power \((\frac{4x}{y} )^2\) in statement form written as 16 times x to the second power all over y to the second power \(\frac{16x^2}{y^2}\)
Step-by-step explanation:
Given expression : the quantity 4 times x all over y all to the second power
We have to write it in simplified statement form,
Consider the given expression,
the quantity 4 times x all over y all to the second power
Mathematically written as \((\frac{4x}{y} )^2\)
Evaluating we get,
\(\Rightarrow (\frac{4x}{y} )^2=\frac{(4x)^2}{y^2}\)
We know square of 4 is 16
So it becomes,
\(\Rightarrow \frac{(4x)^2}{y^2}=\frac{16x^2}{y^2}\)
In statement form written as 16 times x to the second power all over y to the second power.
Thus, (c) statement is correct.
Thus, The correct simplification of the expression the quantity 4 times x all over y all to the second power \((\frac{4x}{y} )^2\) in statement form written as 16 times x to the second power all over y to the second power \(\frac{16x^2}{y^2}\)
