Mathematics
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OpenStudy (cherokeegutierrez):
WILL GIVE MEDAL! What is the value of 2x^-2 y^-2 for x=3 and y=-2
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OpenStudy (rushwr):
\[2x ^{-2}y ^{-2}\] this what u have said right? Just substitute the values and see
OpenStudy (cherokeegutierrez):
yes. but i need help
OpenStudy (rushwr):
which part do u need help
OpenStudy (cherokeegutierrez):
figuring the whole thing out
OpenStudy (rushwr):
okai,
\[2x ^{-2}y ^{-2} = 2 * 3^{-2} * -2^{-2}\] right?
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OpenStudy (cherokeegutierrez):
i guess idk thats why i need help
OpenStudy (rushwr):
in tha step I have substituted the values of x and y which we are given with ! Did u get that part ?
OpenStudy (cherokeegutierrez):
yes.
OpenStudy (rushwr):
When u have a negative exponent like \[x ^{-n}\] You can also write it as \[\frac{ 1 }{ x ^{n} }\] okai ?
OpenStudy (cherokeegutierrez):
ok
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OpenStudy (cherokeegutierrez):
ok so what now?
OpenStudy (rushwr):
I got a little wrong there y also has a negative exponent so we can take that down too !
so it will be \[\frac{ 2 }{ 3^{2} * -2^{2} }\]
OpenStudy (cherokeegutierrez):
ok lol i was like why did you dlete it. but anyways i got it. whats next
OpenStudy (rushwr):
now just simplyfy
when u multiply 2 negatives it becomes positive right?
we knwo -2 ^2 means -2 x -2 right? so that makes it 4!
OpenStudy (cherokeegutierrez):
so 2/2?
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OpenStudy (rushwr):
we know 3^2 = 9
\[\frac{ 2 }{ 9 * 4 }\]
OpenStudy (rushwr):
did u get it ?
OpenStudy (cherokeegutierrez):
so 2/36
OpenStudy (cherokeegutierrez):
but there is no answer like that on here
OpenStudy (cherokeegutierrez):
ohhh 1/18?
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OpenStudy (cherokeegutierrez):
there is that one