Mathematics
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OpenStudy (freemap):
Please Help Me
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OpenStudy (freemap):
Which expression is equivalent to
OpenStudy (freemap):
A. ab
OpenStudy (michele_laino):
we can write this step:
\[\huge {\left( {{a^6}{b^{ - 3}}} \right)^{1/3}} = {a^{6/3}}{b^{ - 3/3}} = ...?\]
OpenStudy (freemap):
just a sec
OpenStudy (freemap):
-3/3?
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OpenStudy (michele_laino):
\(-3/3=-1\)
OpenStudy (freemap):
oh ok so C
OpenStudy (michele_laino):
are you sure?
OpenStudy (michele_laino):
hint: \(6/3=2\)
OpenStudy (freemap):
I thought me solved that into -1
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OpenStudy (michele_laino):
please we have:
\(6/3=2\) and \(-3/3=-1\)
OpenStudy (freemap):
I see what I did i said 6/3 and -3/1 came to -/3 because 6 +-3 =-3 and I kept the bottom
OpenStudy (freemap):
ok I get it sorry
OpenStudy (michele_laino):
here is the next step:
\[\Large {\left( {{a^6}{b^{ - 3}}} \right)^{1/3}} = {a^{6/3}}{b^{ - 3/3}} = {a^2}{b^{ - 1}} = ...?\]
OpenStudy (michele_laino):
furthermore, we can write this:
\[\huge {b^{ - 1}} = \frac{1}{b}\]
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OpenStudy (freemap):
2/a and 1/b = 3 because 2 +1 =3
OpenStudy (michele_laino):
another step:
\[\Large {\left( {{a^6}{b^{ - 3}}} \right)^{1/3}} = {a^{6/3}}{b^{ - 3/3}} = {a^2}{b^{ - 1}} = \frac{{{a^2}}}{b}\]
OpenStudy (freemap):
Ok so d if you don't add 2+1
OpenStudy (michele_laino):
no, because I can add only exponents of powers with the same basis
OpenStudy (freemap):
So a and b could never be added because their different varibles
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OpenStudy (michele_laino):
correct! \(a\) and \(b\) are factors
OpenStudy (freemap):
D is the answer (a 2/b)
OpenStudy (michele_laino):
yes!
OpenStudy (freemap):
Thank you sorry I took long
OpenStudy (michele_laino):
no worries!! :)