Please consider exponent rules. Multiply all the inside exponents by that "-2".
OpenStudy (leenathan):
wait let me write it out
OpenStudy (leenathan):
\[(\frac{ xy^3 }{ x^-4y^4 }) ^-2\]
OpenStudy (leenathan):
\[xy^3 \]*\[^-2\]
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OpenStudy (tkhunny):
Okay, that's what we already saw. Now, use the exponent rules.
OpenStudy (leenathan):
3*-2 right?
OpenStudy (leenathan):
or 3+-2
OpenStudy (tkhunny):
I'll do the numerator
\(\left(xy^{3}\right)^{-2} = x^{1\cdot (-2)}y^{3\cdot (-2)} = x^{-2}y^{-6}\)
Multiply each interior exponent by that exterior exponent.
You do the denominator.
OpenStudy (leenathan):
OK SO \[X^-4 *-2\]=8 then \[y^4*-2\]=-8
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OpenStudy (leenathan):
right?
OpenStudy (tkhunny):
Try again, (-4)*(-2) = +8
OpenStudy (leenathan):
ohhhhh ops
OpenStudy (leenathan):
i forgot the - part
OpenStudy (tkhunny):
Still "A", though.
Notice B and D. If we multiply everything by -2, EVERY exponent must be a multiple of 2. You can throw out B and D immediately.
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