Problem 162 of 7
Correct rational-exponent interpretation error in a^(1/3)=1/a^3.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
catch root-index, power, reciprocal, and domain mistakes.
Hidden until you reveal it.
Worked example must contain root-index, power, reciprocal, or domain mistake.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify numerator, denominator, and sign of the exponent.
2. Apply root, power, and reciprocal meanings correctly.
3. Check real-number domain when the base is negative.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Giving only the corrected value without addressing the misconception.