Exponentiation mistake

Algebra Level 3

Murray doesn't really understand how to exponentiate negative numbers. He thinks that negative numbers are aliens from another planet that he can't be bothered with, so he writes

(a)b=ab. (-a)^b = a^b.

How many of the 10×10 10 \times 10 ordered pairs of integers (a,b) (a, b) , each of which are between 1 and 10 inclusive, satisfy

(a)b=ab? (-a)^b = a^b ?


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