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OpenStudy (anonymous):
\[8a^3\]
OpenStudy (anonymous):
\[(2a)^3=2^3a^3=8a^3\]
OpenStudy (anonymous):
what did you do to get 8?
OpenStudy (anonymous):
2^3 means 2*2*2=8
OpenStudy (anonymous):
8A^2
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OpenStudy (anonymous):
oh, duh! i knew that.
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
will you help me with just one more question?
OpenStudy (anonymous):
sure thing
OpenStudy (anonymous):
(x^2 y^2)^4xy^5
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OpenStudy (anonymous):
Is that \[(x^2y^2)^4xy^5\]
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\[x^{2*4+1}y^{2*4+5}\]
\[=x^9y^13\]
OpenStudy (anonymous):
^^^^AGREE
OpenStudy (anonymous):
That's supposed to be 9 and 13 by the way, it's a bit messy sorry.
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OpenStudy (anonymous):
If so then the 4 is applied to both factors inside the parentheses first\[(x^2)^4(y^2)^4xy^5\]then you have\[x^8y^8xy^5= x ^{9}y ^{13}\]
OpenStudy (anonymous):
okay, so my answer would be x^9 y^13?
OpenStudy (anonymous):
Exactly
OpenStudy (anonymous):
thankyou so much!!!!
OpenStudy (anonymous):
i tried this one on my own and i was just wondering if you could tell me if i did it right..... the question is: 12x^8/3x^6 and i got 15x^14
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OpenStudy (anonymous):
NO MEDALS FOR ME :(
OpenStudy (anonymous):
thats confusing
OpenStudy (anonymous):
If the 3x^6 is in the denominator, then you have an error, x^8/x^6=x^2 it should be in the numerator. 12/3 would reduce to 4 so the answer would be 4x^2.
OpenStudy (anonymous):
There was no 15, I accidentally pulled it from your answer.
OpenStudy (anonymous):
The meaning of x^8 is that there are 8 factors of x in the numerator; the meaning of x^6 is that there are 6 factors of x in the denominator. The 6 factors of x in the deniminator cancel 6 of the 8 factors of x in the numerator leaving 2 factors of x in the numerator.
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