anonymous
  • anonymous
(x^1/9*x^4/9)^18/15
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
is this your problem? \[(x^\frac{1}{9}x^\frac{4}{9})^\frac{18}{15}\]
anonymous
  • anonymous
yea but you multiply the x's inside the parenthesis
anonymous
  • anonymous
i got x^2/3

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anonymous
  • anonymous
\[(x^ \frac{1}{9}*x^\frac{4}{9})^\frac{18}{15}\] is the same thing as\[(x^ \frac{1}{9}x^\frac{4}{9})^\frac{18}{15}\] \[(x^ \frac{1}{9}x^\frac{4}{9})^\frac{18}{15}= (x^\frac{5}{9})^\frac{18}{15}= x^\frac{90}{135}=x^\frac{2}{3}\]
anonymous
  • anonymous
yeah your right
anonymous
  • anonymous
that's exactly how i did it thanks
anonymous
  • anonymous
no prob
anonymous
  • anonymous
can you help me on another one.?
anonymous
  • anonymous
sure
anonymous
  • anonymous
3\[3\sqrt{2}+5\sqrt{2}\]
anonymous
  • anonymous
do i just add the 3 and 5?
anonymous
  • anonymous
yeah but do you know why you can do that?
anonymous
  • anonymous
because the square root is the same?
anonymous
  • anonymous
yeah, so you could factor out the square root of 2\[3\sqrt{2}+5\sqrt{2}=(3+5)\sqrt{2}=8\sqrt{2}\]
anonymous
  • anonymous
what happens if they aren't ... like this one: \[6\sqrt{3}+10\sqrt{12}\]
anonymous
  • anonymous
think of how you can rewrite \[10 \sqrt{12}\]
anonymous
  • anonymous
don't know
anonymous
  • anonymous
so \[10 \sqrt{12}= 10 \sqrt{4*3}= 10\sqrt{4}\sqrt{3}= 20\sqrt{3}\]
anonymous
  • anonymous
so now you have \[6 \sqrt{3}+20 \sqrt{3}= (6+20)\sqrt{3}= 26\sqrt{3}\]
anonymous
  • anonymous
oooooooo okay now i get it so just get them to equal eachother
anonymous
  • anonymous
yeah, thats the idea..... but its not always that easy to see it
anonymous
  • anonymous
so like this one\[2\sqrt{5}-3\sqrt{20}\]
anonymous
  • anonymous
im going to try it hold up
anonymous
  • anonymous
oh my gosh.! i got it!
anonymous
  • anonymous
\[-4\sqrt{5}\] that's my answer
anonymous
  • anonymous
nice.. thats right
anonymous
  • anonymous
there's another one its actually harder kinda confusing can you help me out on this one also please
anonymous
  • anonymous
sure
anonymous
  • anonymous
\[\sqrt[3]{3}+4\sqrt[3]{2}\]
anonymous
  • anonymous
yu there?
anonymous
  • anonymous
yeah, do you know the answer by any chance?
anonymous
  • anonymous
no but it's ok i 'll try my best 2mrw thanks n e way on the other ones huge help

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