anonymous
  • anonymous
NEED INSTANT HELP PLEASE PLEASE PLEASE MEDAL AND FAN: Is the expression x^3timesx^3timesx^3 equivalent to x^3times^3times^3 ? Why or Why not, explain your reasoning.
Mathematics
katieb
  • katieb
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xapproachesinfinity
  • xapproachesinfinity
what the heck does x^3times^3times^3 mean?
anonymous
  • anonymous
x to the third multiplied
xapproachesinfinity
  • xapproachesinfinity
you want what \(x^3.x^3.x^3\) this is the first part

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anonymous
  • anonymous
yes
xapproachesinfinity
  • xapproachesinfinity
you want to see if it is equivalent to what?
xapproachesinfinity
  • xapproachesinfinity
use the drawing to write what you meant that is vague the way you wrote it
anonymous
  • anonymous
ok
anonymous
  • anonymous
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xapproachesinfinity
  • xapproachesinfinity
do you mean is it equivalent to \(x^{3\times 3 \times 3 }\)
anonymous
  • anonymous
yes and why
xapproachesinfinity
  • xapproachesinfinity
it is not equivalent
xapproachesinfinity
  • xapproachesinfinity
what is x^3?
xapproachesinfinity
  • xapproachesinfinity
it is xtimesxtimesx right
anonymous
  • anonymous
yes
xapproachesinfinity
  • xapproachesinfinity
so we have \(x.x.x.x.x.x.x.x.x=?\)
anonymous
  • anonymous
for the first or second equation?
xapproachesinfinity
  • xapproachesinfinity
i just wrote x^3 as xtimesxtimesx the definition of exponent
anonymous
  • anonymous
because its asking me if the two different equations are equivalent and then why or why not
xapproachesinfinity
  • xapproachesinfinity
first of course we are trying to see why it is not equivalent to second
anonymous
  • anonymous
ok
xapproachesinfinity
  • xapproachesinfinity
now accordding to what i did we should get x^9 for the first (this the definition of exponent) when we have \(a^n\times a^m=a^{n+m}\)
xapproachesinfinity
  • xapproachesinfinity
that is why \(x^3\times x^3\times x^3=x^9\)
anonymous
  • anonymous
oh ok so thats the answer for the first one ?
xapproachesinfinity
  • xapproachesinfinity
now the second is different \(x^{3\times 3\times 3}=x^{27}\)
anonymous
  • anonymous
why did you multiply the exponents on the second one but added them ump on the first?
xapproachesinfinity
  • xapproachesinfinity
and since x^9 does not equal x^27 then they are not equivalent at all
xapproachesinfinity
  • xapproachesinfinity
because that is multiplication on the exponent buddy
anonymous
  • anonymous
ok i was just wondering thanks
xapproachesinfinity
  • xapproachesinfinity
well it said x^{3x3x3} so just multiply
xapproachesinfinity
  • xapproachesinfinity
no problem
anonymous
  • anonymous
ok thanks for you help!
xapproachesinfinity
  • xapproachesinfinity
:)

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