Question

Completely simplify the following expression:





8a8b12


9a12b35


8a4b2


9a4b2

Answer 1

Interpret the expression as
(8a^8 b^12 / 9a^12 b^35) ÷ (8a^4 b^2 / 9a^4 b^2).

Simplify each fraction:
- 8a^8 b^12 / 9a^12 b^35 = (8/9) a^(8-12) b^(12-35) = (8/9) a^-4 b^-23 = 8/(9 a^4 b^23).
- 8a^4 b^2 / 9a^4 b^2 = 8/9.

Now divide: (8/(9 a^4 b^23)) ÷ (8/9) = (8/(9 a^4 b^23)) * (9/8) = 1/(a^4 b^23).

(Assuming a ≠ 0 and b ≠ 0.)