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No, there is a big difference between 2^(-4) and (-2)^4

The first is 1/16 and the second is 16.

A negative exponent is the reciprocal of a positive exponent. a^b is going to be 1/ (a^(-b)),

Similarly, (a^b)*(a^(-b))=1 for two reasons. First multiplying reciprocals cancels them out. Second, when you multiply the same base you add the exponents, so (a^b)*(a^(-b)) = a^0 which equals 1◄

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Q: Do negative exponent not mean to make the base number negative?
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