\[ \{a^{-1} \} = \{ a^2 \} \]

Suppose we have a positive number \(a \) such that the above equation is true, with \( 2 < a^2 < 3 \).

What is the value of \( a^{12} - 144a^{-1} \)?

**Details and Assumptions**

- \( \{ x \} \) denote the fractional part of \(x\): \( \{ x \} = x - \lfloor x \rfloor \)

×

Problem Loading...

Note Loading...

Set Loading...