anonymous
  • anonymous
simplify 8^2/3 x 2^-1/3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[8=2^{3} so... 8^{(2/3)}=2^{2}\]
anonymous
  • anonymous
then you have 2^2 * 2^(-1/3). Add the exponents
anonymous
  • anonymous
\[8^{\frac{2}{3}}\] means cube root of 8 squared. cube root of 8 is 2, 2 squared is 4

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anonymous
  • anonymous
2 + (-1/3) = 5/3 So the answer would be 2 ^ (5/3)
anonymous
  • anonymous
i got lost somewhere
anonymous
  • anonymous
in order to simplify, you have to have a common base. So by simplifying the 8, you can get everything written with a base of 2
anonymous
  • anonymous
they are added...not multiplied?
anonymous
  • anonymous
like satellite said, the cube root of 8 is 2, so that gives you 2^2
anonymous
  • anonymous
well, when multiplying, you add the exponents....think x^2*x^3 = x^5
anonymous
  • anonymous
i understand the first number, not the second 2^(-1/3)
anonymous
  • anonymous
so, since they both have a base of 2, you can add their exponents
anonymous
  • anonymous
ok...gotcha on the addition
anonymous
  • anonymous
You don't have to change anything in 2^(-1/3), since it alrady has a base of 2
anonymous
  • anonymous
how do you get 5/3 by adding -1/3 and 2
anonymous
  • anonymous
sorry im slow lol
anonymous
  • anonymous
get common denominators....2 = 6/3
anonymous
  • anonymous
:)
anonymous
  • anonymous
-1/3 + 6/3 = 5/3
anonymous
  • anonymous
duh moment lol
anonymous
  • anonymous
haha
anonymous
  • anonymous
makes sense now
anonymous
  • anonymous
great!
anonymous
  • anonymous
im new to this site. how exactly does it work...students helping students?
anonymous
  • anonymous
mostly
anonymous
  • anonymous
i have a few more of these problems, but i want to try them myself...try at least lol
anonymous
  • anonymous
thanks for your help

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