Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power.
4 times x to the second power all over y to the second power
8 times x to the second power all over y to the second power
16 times x to the second power all over y to the second power
16 times x to the second power all over y
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OpenStudy (barrelracer011):
@amistre64
OpenStudy (johnweldon1993):
\[\large (\frac{4x}{y})^2\]
Like that?
OpenStudy (barrelracer011):
Yes I think the answer it either A or B but im not sure
OpenStudy (johnweldon1993):
Not quite...since
\[\large (\frac{4x}{y})^2 = \frac{(4x)^2}{y^2}\]
OpenStudy (barrelracer011):
So I would have to do 4x times 4x and get 16x over y^2
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OpenStudy (barrelracer011):
So It would be C
OpenStudy (johnweldon1993):
And we know that 4x is actually just written as \(\large 4 \times x\)
So really we have
\[\large \frac{(4 \times x)^2}{y^2} \rightarrow \frac{(4^2 \times x^2)}{y^2}\]
OpenStudy (johnweldon1993):
C would be correct!
OpenStudy (barrelracer011):
Thank you soo much! Can I mention you in more of these questions if I have any?
OpenStudy (johnweldon1993):
Of course :)
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