# Question on passing from rational to exponet

it's not a question itself, but I'd like to check if am I doing this passage from rational numbers to the exponent form right:

From: $\sqrt{a\sqrt{a}}$ Evaluete to:

$\sqrt{a*a^{\frac{1}{2}}}$ = $\sqrt{a^{\frac{3}{2}}}$ = $a^{\frac{3}{2}*\frac{1}{2}}$ = $a^{\frac{3}{4}}$

Is this idea right ? and this one ? From: $(2^{\frac{1}{2}} + 2^{-\frac{1}{2}})^{2}$

Evaluete to: $2^{1} + 2^{1} + 2^{-1}$ = $4 + \frac{1}{2}$ = $\frac{9}{2}$

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Yes you are right in both cases – Alex Oct 19 '12 at 3:39
@Alex Thank you! – aajjbb Oct 19 '12 at 22:32