# Alg

I have to simplify this:
(y^(1/4)*Z^4)^(-4/5)

(2z)^(1/2)/4z^4
Correct?

Simplify (3-2SQRT2)(SQRT6-5)
I have no idea how to foil this one.

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1. I don't think (2z)^(1/2)/4z^4 can be correct, since y has disappeared.

Take it in steps, by distributing th power:

(y^(1/4)*Z^4)^(-4/5) =
(y^(1/4))^(-4/5)(*Z^4)^(-4/5)

Now, what's the rule for raising powers?

As for
(3-2SQRT2)(SQRT6-5)
I don't really get it to be very simple!
All I can do is multiply it out:
3sqrt6-15-2sqrt2sqrt6+10sqrt2
and collect the terms.

It it helps at all, you can note that:
sqrt(12) = sqrt(4)*sqrt(3) = 2sqrt(3)
but that doesn't help much!

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posted by jim

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