Please help real quick! I will mark brainliest!!

Answer:
The first two are equivalent but the last one is only true for t=1, so it's not equivalent.
Equal
Equal
Not Equal
If you need an explanation, just ask. Hope this helps! :]
Answer:
On the one hand,
Answer:
f(t) = 10^(t^2 + 2t - 3)
= 10^(t^2 + 2t) x 10^(-3)
= 10^(t^2 + 2t)/10^3
= 10^(t^2 + 2t)/1000 => Option A is correct
= 10^(t^2) x 10^(2t)/1000 => Option B is correct.
On the other hand,
f(t) = 10^(t^2 + 2t - 3) = 10^(t^2 + 2t) x 10^(-3) = 10^
A = t^2 + 2t - 3 = t^2 - t + 3t - 3 = t(t - 1) + 3(t - 1) = (t + 3)(t - 1)
=> f(t) = 10^[(t + 3)(t - 1)]
=> Option C is wrong, in which f(t) = 10^[(t - 3)(t - 1)]
Hope this helps!
:)