Problem 35 of 7
Convert 3(9)^y to an equivalent exponential expression with base 3.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use power relationships between bases.
Hidden until you reveal it.
Original base must be an integer power of the target base or reciprocal target base.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Rewrite the original base as a power of the target base.
2. Apply power-of-a-power rules.
3. Keep the coefficient unchanged unless simplification requires it.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Changing the coefficient when only base conversion is needed.