Mathematics
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OpenStudy (avai70178):
Please simplify.
(4a^2b)^3(3ab^3)^2
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OpenStudy (avai70178):
The little arrows pointing upwards mean the number to its right is a exponent
OpenStudy (anonymous):
\[576 a^8 b^9\]
OpenStudy (avai70178):
how did you get that
OpenStudy (avai70178):
i got 64a^5b^4
OpenStudy (anonymous):
\[(4 a^2 b^)3 (3 a b^3)^2\]
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OpenStudy (anonymous):
Umm then dont trust me :D if you think you got it right
OpenStudy (avai70178):
lol ok thank you though
OpenStudy (avai70178):
do you want the medal?
OpenStudy (***[isuru]***):
lol.... blitzkrig is correct
OpenStudy (avai70178):
how
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OpenStudy (anonymous):
MWHAHA I AM AWESOME ty ISURU
OpenStudy (anonymous):
eh? whos with me
OpenStudy (***[isuru]***):
hmm............
expand
\[(4a^{2}b)^{3}\]
u will get
\[4^{3} a^{2 \times 3} b^{3}\]
which is
\[64a^{6}b^{3}\]
OpenStudy (anonymous):
thank you sasuke i honor you :)
OpenStudy (anonymous):
does that mean i got it wrong :OO man i suck *hides in corner*
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OpenStudy (avai70178):
lol we were both wrong ty!
OpenStudy (***[isuru]***):
now expand
\[(3ab^{3})^{2}\]
which will lead u to
\[3^{2} a^{2}b^{3 \times 2}\]
which is
\[9a^{2}b^{6}\]
OpenStudy (anonymous):
Sasuke you have beat me *slides away*
OpenStudy (***[isuru]***):
now multiply
\[9a^{2}b^{6} \times 64a^{6}b^{3}\]
OpenStudy (anonymous):
so am i right?
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OpenStudy (***[isuru]***):
the powers of like terms get add together
OpenStudy (***[isuru]***):
9 x 64 = 576
OpenStudy (***[isuru]***):
so... the answer is........
\[576a^{(2 + 6)}b^{(6+3)}\]
OpenStudy (***[isuru]***):
\[576a^{8}b^{9}\]
OpenStudy (anonymous):
YES IM AWESOME
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OpenStudy (avai70178):
Thanks guys!
OpenStudy (***[isuru]***):
u r welcome!