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Mathematics 7 Online
OpenStudy (anonymous):

(x^1/9*x^4/9)^18/15

OpenStudy (anonymous):

is this your problem? \[(x^\frac{1}{9}x^\frac{4}{9})^\frac{18}{15}\]

OpenStudy (anonymous):

yea but you multiply the x's inside the parenthesis

OpenStudy (anonymous):

i got x^2/3

OpenStudy (anonymous):

\[(x^ \frac{1}{9}*x^\frac{4}{9})^\frac{18}{15}\] is the same thing as\[(x^ \frac{1}{9}x^\frac{4}{9})^\frac{18}{15}\] \[(x^ \frac{1}{9}x^\frac{4}{9})^\frac{18}{15}= (x^\frac{5}{9})^\frac{18}{15}= x^\frac{90}{135}=x^\frac{2}{3}\]

OpenStudy (anonymous):

yeah your right

OpenStudy (anonymous):

that's exactly how i did it thanks

OpenStudy (anonymous):

no prob

OpenStudy (anonymous):

can you help me on another one.?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

3\[3\sqrt{2}+5\sqrt{2}\]

OpenStudy (anonymous):

do i just add the 3 and 5?

OpenStudy (anonymous):

yeah but do you know why you can do that?

OpenStudy (anonymous):

because the square root is the same?

OpenStudy (anonymous):

yeah, so you could factor out the square root of 2\[3\sqrt{2}+5\sqrt{2}=(3+5)\sqrt{2}=8\sqrt{2}\]

OpenStudy (anonymous):

what happens if they aren't ... like this one: \[6\sqrt{3}+10\sqrt{12}\]

OpenStudy (anonymous):

think of how you can rewrite \[10 \sqrt{12}\]

OpenStudy (anonymous):

don't know

OpenStudy (anonymous):

so \[10 \sqrt{12}= 10 \sqrt{4*3}= 10\sqrt{4}\sqrt{3}= 20\sqrt{3}\]

OpenStudy (anonymous):

so now you have \[6 \sqrt{3}+20 \sqrt{3}= (6+20)\sqrt{3}= 26\sqrt{3}\]

OpenStudy (anonymous):

oooooooo okay now i get it so just get them to equal eachother

OpenStudy (anonymous):

yeah, thats the idea..... but its not always that easy to see it

OpenStudy (anonymous):

so like this one\[2\sqrt{5}-3\sqrt{20}\]

OpenStudy (anonymous):

im going to try it hold up

OpenStudy (anonymous):

oh my gosh.! i got it!

OpenStudy (anonymous):

\[-4\sqrt{5}\] that's my answer

OpenStudy (anonymous):

nice.. thats right

OpenStudy (anonymous):

there's another one its actually harder kinda confusing can you help me out on this one also please

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

\[\sqrt[3]{3}+4\sqrt[3]{2}\]

OpenStudy (anonymous):

yu there?

OpenStudy (anonymous):

yeah, do you know the answer by any chance?

OpenStudy (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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