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why the exponents can not be negative
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
They can be written as reciprocals with positive exponents. For example, 5-7 = (1/5)7
negative*negative=positive negative/positive=negative negative\negative=positve negative-positive=change the sign to a plus and then change the number after the sign and get your answer negative +positive=which ever numbr is bigger minus positive+positive=positive
Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.