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Mathematics 27 Online
OpenStudy (anonymous):

help

OpenStudy (anonymous):

help with what

OpenStudy (whpalmer4):

You say "which of the following" but there's only one thing there...

OpenStudy (whpalmer4):

I'm still not quite sure what your drawing is about. Is the question which of the following is equivalent to \[\frac{x^5y^2}{xy^2}\]?

OpenStudy (whpalmer4):

Great. To simplify exponents when dividing, remember that \[\frac{a^n}{a^m} = a^{n-m}\]

OpenStudy (whpalmer4):

and \[a^0 = 1\] so long as \(a \ne 0\)

OpenStudy (whpalmer4):

No, why would you guess? This is easy. \[\frac{x^5y^2}{xy^2} = \frac{x^5}{x}*\frac{y^2}{y^2}\]right? \[x = x^1\] So you have to simplify \[\frac{x^5}{x^1}\] and\[\frac{y^2}{y^2}\] The latter is just 1 so long as \(y\ne0\), and the problem says that is true. Look at the formula for dividing with exponents again and then look at the first part here.

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