Daniella G. | Recent Graduate in Microbiology, looking to tutor in the sciencesRecent Graduate in Microbiology, looking...

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false. it will only be negative if the number is negative with an odd exponent. what you're actually doing is dividing instead of multiplying. for example:

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...

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Statement is false. Result can be negative or positive it depends from the base and exponent.

If base is negative number, there are two possibilities:
- result is negative, if exponent is odd number; (-2)^{-3} = 1/(-2)^{3} = - (1/8)
- result is positive, if exponent is even number; (-2)^{-2} = 1/(-2)^{2} = 1/4

If base is positive number, the result is always positive:
2^{-3} = 1/2^{3} = 1/8
2^{-2} = 1/2^{2} = 1/4

Very important to remember, if exponent is negative number, that base can't be zero.