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
\[ (-a)^b = a^b. \]
How many of the \( 10 \times 10 \) ordered pairs of integers \( (a, b) \), each of which are between 1 and 10 inclusive, satisfy
\[ (-a)^b = a^b ? \]
by
Calvin Lin