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Roots

by mjjking » Sun Mar 08, 2009 9:02 am
Is root5 of a^7 = a(root5 of a^2) ?

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by cramya » Sun Mar 08, 2009 9:34 am
Is root5 of a^7 = a(root5 of a^2)
I would say so.

5throot(128) = 5throot(2^5 * 2^2) = 2 * 5throot(4)



Properties:

nthroot(xy) = nthroot(x) * nthroot(y)

nthroot(x/y) = nthroot(x) / nthroot(y)


In exaple above x = 2^5 y=2^2

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Cramya
Last edited by cramya on Sun Mar 08, 2009 9:35 am, edited 1 time in total.
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by truplayer256 » Sun Mar 08, 2009 9:34 am
Yeah, you're correct.
root5 of a^7=a^(7/5)
and a(root5 of a^2)= a*a^(2/5), Since we're multiplying to numbers with the same bases, we add exponents. So, a*a^2/5=a^(1+2/5)=a^7/5.
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