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Mathematics 14 Online
OpenStudy (anonymous):

Simplify (y^10/125y^-5)^-2/3

OpenStudy (anonymous):

\[( y^{10} / 125y^{-5} )^{-2/3} = y^{10(-2/3)}/125y^{-5(-2/3)}\]

OpenStudy (anonymous):

what do you do after that?

OpenStudy (anonymous):

simplify the 10(-2/3) and -5(-2/3) so you'l be left with \[y^{-20/3}/125y^{10/3}\]

OpenStudy (anonymous):

and then move the y in the denominator to the numerator by switching the sign of its exponent

OpenStudy (anonymous):

From denominator or the numerator? I thought you move the numerator

OpenStudy (anonymous):

because the numerator is the one that has the negative sign

OpenStudy (anonymous):

You can move both, but yes to make the answer contain only positive exponents you can move the numerator down

OpenStudy (anonymous):

so the answer will be 1/125y^30/3

OpenStudy (anonymous):

yes but dont forget to simplify the 30/3

OpenStudy (anonymous):

1/125y^10

OpenStudy (anonymous):

yay :)

OpenStudy (anonymous):

whoo thanks!

OpenStudy (anonymous):

np

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