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Mathematics 15 Online
OpenStudy (anonymous):

I have to simplify (x^3y^6)(xy^2) --> This is suppose to be a fraction x^4y^4

OpenStudy (anonymous):

see what you can factor out of the top and bottom

OpenStudy (anonymous):

how about for starters a x

OpenStudy (anonymous):

would I add the top and bottom exponents of x

OpenStudy (anonymous):

\[x ^{3}y ^{6}xy ^{2} / xy ^{2}\] is this correct?

OpenStudy (anonymous):

the top is but on the bottom its suppose to be x^4y^4

OpenStudy (anonymous):

fist combine like terms, so the x^4 and the x can combine in the numberator

OpenStudy (anonymous):

so x^5

OpenStudy (anonymous):

x^5 on top or bottom?

OpenStudy (anonymous):

on the top because you have \[x^{4} * x^{1}\] When you multiply like terms you must add the exponant

OpenStudy (anonymous):

ok and then for the y it would be y^8

OpenStudy (anonymous):

so when you divide terms like \[x ^{5} / x ^{4}\] you subtract the exponent

OpenStudy (anonymous):

yes that right for the top

OpenStudy (anonymous):

using those property's the final answer is \[y ^{4}\]

OpenStudy (triciaal):

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