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Mathematics 20 Online
OpenStudy (freemap):

Please Help Me

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?

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

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: \[\huge {b^{ - 1}} = \frac{1}{b}\]

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

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!! :)

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