WILL GIVE MEDAL Rewrite the radical as a rational exponent

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WILL GIVE MEDAL Rewrite the radical as a rational exponent

Mathematics
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Question 2: Rewrite the rational exponent as a radical by extending the properties of integer exponents.
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{^o^] help?
@Vocaloid ? @Mumustar78612 do you think you can help here?
|dw:1435090837276:dw| for the first question
i havent done this yet sorry
and for the second question... |dw:1435091009545:dw|
That's fine @Mumustar78612 The choices for #1 are: 2 3/7 2 7/3 2^21 2^4
Thanks @Vocaloid for #1 but I don't understand #2. the choices are on the first question here: http://learn.flvs.net/educator/student/examform.cgi?rwiggans1*pilot*mpos=3&spos=0&slt=pAI8jbiA7OwsY*3939*0029
|dw:1435091876191:dw| this rule is definitely what you need
\[\frac{2^\frac{3}{4}}{2^\frac{1}{2}}=2^{\frac{3}{4}-\frac{1}{2}}\]
can you continue from there?
Im terrible with fractions @freckles
\[\frac{a}{b}-\frac{c}{d}=\frac{ad-cb}{bd}\]
2/8 ?
right and 2/8 can be reduced
8=2(4) \[\frac{2}{8}=\frac{2(1)}{2(4)}=\frac{\cancel{2}(1)}{\cancel{2}(4)}\]
I think I see two problems above.. \[\sqrt[a]{x^b}=x^\frac{b}{a} \\ \text{ just use this for the other question }\]
Right. Soooo then it's 2 1/4 right? @freckles
well the answer would be 2^(1/4)
or in pretty form: \[2^\frac{1}{4}\]
That's not any of the answers tho
\[\frac{2^\frac{3}{4}}{2^\frac{1}{2}}=2^{\frac{3}{4}-\frac{1}{2}}=2^\frac{1}{4}\] this is right
did you want to put the answer in another form?
you could use \[\sqrt[a]{x^b}=x^\frac{b}{a}\] tried that
probably. The choices are in the link ^^^
notice when comparing 2^(1/4) to x^(b/a) x is 2 b is 1 a is 4
so plug those in on the other side of the equality I just wrote
Oh I see! Thanks lots!
Wait... That's still not one of the choices.
I think he still working on \[\frac{2^\frac{3}{4}}{2^\frac{1}{2}}\] aren't you @TheDragon ?
@robtobey umm I already did that one
Yeah I am @freckles
\[\frac{2^\frac{3}{4}}{2^\frac{1}{2}}=2^{\frac{3}{4}-\frac{1}{2}}=2^{\frac{3}{4}-\frac{2}{4}}=2^{\frac{1}{4}}=\sqrt[4]{2^1}\] but remember 2^1 is just 2 so you have \[\sqrt[4]{2}\]
Hey Can I Have Some Of You Smart People To Help Me With My Question?
Oh okay thnx again

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