anonymous
  • anonymous
please help Which of the following is equal to square root of the cube root of 2? 2 to the power of 2 over 3 2 to the power of 3 over 2 2 to the power of 1 over 3 2 to the power of 1 over 6
Mathematics
katieb
  • katieb
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welshfella
  • welshfella
|dw:1437238306035:dw|
anonymous
  • anonymous
wait so what answer choice would that be?
welshfella
  • welshfella
thats just an example - the above would be the 4th root of x cubed

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welshfella
  • welshfella
another example might be |dw:1437238633165:dw|
welshfella
  • welshfella
that would be the 4th root of the cube root of x
welshfella
  • welshfella
(as 1/12 = 1/4 * 1/3)
welshfella
  • welshfella
you question is of the last type
anonymous
  • anonymous
so would it be the 3rd answer choice?
welshfella
  • welshfella
no
welshfella
  • welshfella
2 to the power of 1 over 3 is just the cube root
anonymous
  • anonymous
oh... im so confused, could you explain how i would solve mine? |dw:1437238875011:dw|
welshfella
  • welshfella
|dw:1437238926440:dw|
anonymous
  • anonymous
i think i see how you got that
welshfella
  • welshfella
|dw:1437238989772:dw|
anonymous
  • anonymous
oh! so would it be...|dw:1437239064652:dw|?
welshfella
  • welshfella
yep
anonymous
  • anonymous
thank you!
welshfella
  • welshfella
yw
anonymous
  • anonymous
can you help me with one more?
welshfella
  • welshfella
i only have 5 minutes but ok
anonymous
  • anonymous
|dw:1437239179722:dw| sorry if the drawings confusing
welshfella
  • welshfella
|dw:1437239236820:dw|
welshfella
  • welshfella
= 2^(1/2 + 1/3)
welshfella
  • welshfella
- you add the exponents
anonymous
  • anonymous
|dw:1437239307901:dw|
welshfella
  • welshfella
- no - you have multiplied 1/2 * 1/3 in this case you add them law of exponents x^a * x^b = x^(a+b)
welshfella
  • welshfella
1/2 + 1/3 = 3/6 + 2/6 = ?
anonymous
  • anonymous
so...|dw:1437239543505:dw|
welshfella
  • welshfella
- no iv shown you how to add them in my last post
welshfella
  • welshfella
gotta go
anonymous
  • anonymous
ohhh i got it thank you so much
anonymous
  • anonymous
\[\sqrt{\sqrt[3]{2}}=\sqrt{2^{\frac{ 1 }{ 3 }}}=(2^{\frac{ 1 }{ 3 }})^\frac{ 1 }{ 2 }=2^{\frac{ 1 }{ 3 }\times \frac{ 1 }{ 2 }}=2^{\frac{ 1 }{ 6 }}\]

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