## anonymous 5 years ago Simplify sqrt((t-7)^3)/t-7

1. anonymous

=sqrt(t-7)

2. anonymous

all of the numerator is to the third power

3. anonymous

$(t-7)^{3/2} \over (t-7)$

4. anonymous

3/2 - 1 =1/2

5. anonymous

@purplec16 sqrt(t-7) is the simplified ans.

6. anonymous

kk

7. anonymous

i get it thank you so much

8. anonymous

no probs :)

9. anonymous

wait...that cant be the answer cause its a limit and we dont want it to equal to 0

10. anonymous

wait...that cant be the answer cause its a limit and we dont want it to equal to 0

11. amistre64

limits are allowed to be zero

12. 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)

Problem states to simplify (t-7)^1/2

14. anonymous

but we want to solve it so that it is not 0

15. anonymous

but we want to solve it so that it is not 0

16. amistre64

no, we want to manipulate it so that we have no zero in a denominator

17. amistre64

since the bottom cancels with the top; all thats left is a simple ordinary 0

18. anonymous

hmm i as just going to say that

19. anonymous

was*