Problem 114 of 7
Determine whether expression (-5)^(0/2) is real.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
consider even roots of negative numbers.
Hidden until you reveal it.
Expression must involve rational exponent and possible negative base.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the root index from the denominator.
2. For negative bases, odd roots are real and even roots are not real.
3. Apply the expression's written form carefully.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Simplifying exponent fractions blindly for negative bases without considering defined form.