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Mathematics 24 Online
OpenStudy (breathlessreaper):

How do i simplify this???

OpenStudy (solomonzelman):

Depends on what is "this" .

OpenStudy (breathlessreaper):

I'll post it in a sec o.o

OpenStudy (breathlessreaper):

square root of 2 over cube root of 2

OpenStudy (solomonzelman):

\(\LARGE\color{green}{ \bf \frac{\sqrt{2} }{\sqrt[3]{2} } }\) \(\LARGE\color{green}{ \bf \frac{\sqrt[2]{2} }{\sqrt[3]{2} } }\) \(\LARGE\color{green}{ \bf 2^{1/2} \div2^{1/3}=2^{1/2-1/3}=2^? }\)

OpenStudy (breathlessreaper):

I'm confused? @SolomonZelman

OpenStudy (breathlessreaper):

@jim_thompson5910 can you help?

jimthompson5910 (jim_thompson5910):

where are you stuck?

OpenStudy (breathlessreaper):

Pretty much the entire thing

OpenStudy (solomonzelman):

-:(

OpenStudy (breathlessreaper):

It's multiple choice.... and i can choose from A) 2 to the power of 1 over 6 B) 2 to the power of 1 over 3 C) 2 to the power of 5 over 6 D) 2 to the power of 3 over 2 I don't know how to get what they want.

jimthompson5910 (jim_thompson5910):

Did you see SolomonZelman's steps?

OpenStudy (breathlessreaper):

Yes. But I can't really make sense of it o.o

OpenStudy (breathlessreaper):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Well first off, he wrote \[\Large \sqrt{2}\] as \[\Large \sqrt[2]{2}\]

jimthompson5910 (jim_thompson5910):

do you understand how this step was obtained?

OpenStudy (breathlessreaper):

WAIT oh would it be A? 2 1/6?

OpenStudy (breathlessreaper):

I believe i understand now. It would be A right? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

how are you getting 1/6

OpenStudy (breathlessreaper):

1/2-1/3

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so the key is to get everything have to an exponent then subtract the exponents

jimthompson5910 (jim_thompson5910):

to have*

OpenStudy (breathlessreaper):

Thank you @SolomonZelman and @jim_thompson5910 I have another question.

OpenStudy (breathlessreaper):

The expression 700(1.005644)4x shows the quarterly interest rate Letrice earns after x years. Which expression shows the x isolated in the exponent in an equivalent form? A) 700(0.251411)x B) 700(4.022576)x C) 700(1.022768)x D) 700(1.001408)x

jimthompson5910 (jim_thompson5910):

hint: \[\Large a^{b*c} = (a^b)^c\]

OpenStudy (breathlessreaper):

Uhh... i dont know Dx @jim_thompson5910

OpenStudy (breathlessreaper):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

example |dw:1401669326817:dw|

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