Problem 54 of 7
Rewrite 64(0.25)^(t+0.5) to reveal initial value at the new starting time.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
factor powers of the base.
Hidden until you reveal it.
Expression must contain a shifted exponent and be rewriteable as A*b^t.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Separate the shifted exponent into variable and constant power factors.
2. Combine the constant power with the coefficient.
3. Read the new coefficient as the value at t=0.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using the original coefficient as initial value when exponent is shifted.