anonymous
  • anonymous
Simplify sqrt((t-7)^3)/t-7
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
=sqrt(t-7)
anonymous
  • anonymous
all of the numerator is to the third power
anonymous
  • anonymous
\[(t-7)^{3/2} \over (t-7)\]

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anonymous
  • anonymous
3/2 - 1 =1/2
anonymous
  • anonymous
@purplec16 sqrt(t-7) is the simplified ans.
anonymous
  • anonymous
kk
anonymous
  • anonymous
i get it thank you so much
anonymous
  • anonymous
no probs :)
anonymous
  • anonymous
wait...that cant be the answer cause its a limit and we dont want it to equal to 0
anonymous
  • anonymous
wait...that cant be the answer cause its a limit and we dont want it to equal to 0
amistre64
  • amistre64
limits are allowed to be zero
anonymous
  • anonymous
step1: sqrt((t-7)^3)/t-7 step2: ((t-7)^(3/2))/t-7 step3: ((t-7)^(3/2))*((t-7)^-1) (because 1/a=a^-1) step4: (t-7)^((3/2)-1) (because (a^m)*(a^n)=a^(m+n)) step5: (t-7)^(1/2) step5: sqrt(t-7)
radar
  • radar
Problem states to simplify (t-7)^1/2
anonymous
  • anonymous
but we want to solve it so that it is not 0
anonymous
  • anonymous
but we want to solve it so that it is not 0
amistre64
  • amistre64
no, we want to manipulate it so that we have no zero in a denominator
amistre64
  • amistre64
since the bottom cancels with the top; all thats left is a simple ordinary 0
anonymous
  • anonymous
hmm i as just going to say that
anonymous
  • anonymous
was*

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