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xxx+3×x2xx+2=aa(1−a)/a \huge x^{x^{x+3}} \times x^{2x^{x+2}} = a^{a^{(1-a)/a}} xxx+3×x2xx+2=aa(1−a)/a
For all xxx and aaa real numbers that satisfy the equation above, and given that
x−x×(1a)−1a \Large x^{-x} \times \left( \frac1a\right)^{-\frac1a} x−x×(a1)−a1
can be expressed as xb\displaystyle x^bxb, where bbb is an integer, find the value of bbb.
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