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Mathematics 45 Online
OpenStudy (anonymous):

Simplify. -√m^4 n^7

OpenStudy (jhannybean):

Is your question \(-\sqrt{m^4n^7}\) ?

OpenStudy (anonymous):

yes =))

OpenStudy (jhannybean):

So this would be \(-1\cdot \sqrt{m^4} \cdot \sqrt{n^7}\) For every pair of 2 numbers inside the square root, 1 number comes out.

OpenStudy (jhannybean):

You can also rewrite the function as so: \(-(m^4n^6)^{1/2}\) and then multiply the half to both variables.

OpenStudy (jhannybean):

\[\large -(m^4)^{1/2} \cdot (n^7)^{1/2}\]

OpenStudy (jhannybean):

Second post has a typo, that should say ^7, not ^6*

OpenStudy (jhannybean):

So here you would get \[\large -(m^{4 \cdot 1/2}) \cdot n^{7 \cdot 1/2}\]

OpenStudy (jhannybean):

Now what is \[4\cdot \frac{1}{2} =~?\]\[7 \cdot \frac{1}{2} =~?\]

OpenStudy (anonymous):

2 3.5

OpenStudy (jhannybean):

Yes, So you would have \[-m^2n^{7/2} \implies -m^2\sqrt{n^7}\]

OpenStudy (anonymous):

so is tht the answer??

OpenStudy (jhannybean):

Yes.

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