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Mathematics 7 Online
OpenStudy (sambam):

_______ 6√x^2y^3 Express with fractional exponents instead of radicals.

OpenStudy (blurbendy):

you can rewrite this as 6xy^3/2 do you understand why?

OpenStudy (sambam):

Okay and whats next?

OpenStudy (blurbendy):

that's it, but do you understand how I got that? If so, tell me how. If not, I'll explain.

OpenStudy (sambam):

Well you just combine it all but the problem doesn't fit in my blanks

OpenStudy (blurbendy):

you're being pretty vague

OpenStudy (sambam):

Okay?

OpenStudy (blurbendy):

which tells me, you don't know what I did

OpenStudy (sambam):

Im trying to figure it out.

OpenStudy (blurbendy):

well i started by seeing that i can take an x out of the square root symbol, because the square root of x^2 is x however, y^3 is a little trickier to take the square root of and the question just as for a fractional representation, so I rewrote it as y^3/2 if it was finding the fourth root instead of the square root, then i would write it as y^3/4 5th root would be y^3/5 hopefully you see the pattern

OpenStudy (blurbendy):

asks for*

OpenStudy (sambam):

Kinda yes

OpenStudy (blurbendy):

whatever the root is, it could be squared, cubed, 4th, 5th, 6th root etc, goes in the denominator (bottom part) and the exponent goes on the numerator (top part)

OpenStudy (sambam):

Okay

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