anonymous
  • anonymous
can someone help me make up a radical expression and convert it into a radical exponent?/????
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\sqrt{3^4} = 3^{\frac{4}{2}}\]
anonymous
  • anonymous
how was the expression converted?
anonymous
  • anonymous
you see the 3? it keeps its own exponent but takes onthe root of the radical as a bottom number...

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anonymous
  • anonymous
more...the square root of 3 is the same as 3 to the power of 1/2
anonymous
  • anonymous
yup
anonymous
  • anonymous
im still not uderstanding how you got it ... so your saying in the beginging before you put it in that form it was 3 sqrt 4 and waht?
anonymous
  • anonymous
nope. to begin it was just sqrt(3^4) could have been any number really. and any radical. 5radical[16] = 16^1/5
anonymous
  • anonymous
a radical is what happens when you get a fraction as an exponent
anonymous
  • anonymous
so the answer is 3^4 16^1/5???
anonymous
  • anonymous
what answer? you wanted someone to help you make radical into exponent. there is no "answer" fo be figured out. just examples.
anonymous
  • anonymous
yes so is it 3^4 16 ^1/5
anonymous
  • anonymous
Keep it simple: sq rt 3 is same as 3 ^ 1/2. Sometimes the number has a square inside: sq rt of 3^2 becomes 3^2*(1/2)
anonymous
  • anonymous
no. 2 examples dont make one answer lol. give me radical and i show you exponent ok?
anonymous
  • anonymous
ok 5 sqrt 4
anonymous
  • anonymous
5 sqrt4 can be sqrt25*4 =sqrt100 sqrt100 = 100^1/2
anonymous
  • anonymous
give me another one...show you more :)
anonymous
  • anonymous
3 sqrt 4
anonymous
  • anonymous
3sqrt4 = sqrt9*4 = sqrt36 = 36^1/2
anonymous
  • anonymous
makes good sense yet ?
anonymous
  • anonymous
yes thanks

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