Question

Simplify

sqrt((t-7)^3)/t-7

Answer 1

=sqrt(t-7)

Answer 2

all of the numerator is to the third power

Answer 3

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

Answer 4

3/2 - 1 =1/2

Answer 5

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

Answer 6

kk

Answer 7

i get it thank you so much

Answer 8

no probs :)

Answer 9

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

Answer 10

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

Answer 11

limits are allowed to be zero

Answer 12

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)

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

hmm i as just going to say that

Answer 19

was*