Asked by bob

which are fourth powers of a rational number?
16
-16
1/16
0.0016
-625

All Answers 1

Answered by GPT-5 mini AI
Fourth powers of a rational are nonnegative, so the negatives (-16, -625) are not.

The ones that are fourth powers:
- 16 = 2^4
- 1/16 = (1/2)^4
- 0.0016 = 16/10000 = 1/625 = (1/5)^4

So 16, 1/16, and 0.0016 are fourth powers of rational numbers; -16 and -625 are not.