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2. (2^5 x 3^5 x 4^2)/(12^2)
= (2^5 x 4^2 x 3^5)/(3^2 x 4^2)
= 2^5 x 3^(5-3)
= 2^5 x 3^2 = 32 x 9 = 288
3. 2 x^3.7 x^4.3^2 x^2
= 2.7.9.x^(3+4+2)
= 126x^9
4. (a^4 x b^4 x c^4 x 3) /(b^3 x c^3) x b^3/ (27a^5)
= a^(4-5) x b^(4-3+3) x c^(4-3) x 3^(1-3)
= a^-1 x b^4 x c x 3^-2
= (b^4 x c ) / 9a
5. [2^4/3^4 x 1/2^2] - [ 2^4/3^4 x 1/(3^2 x 2^2)]
= [2^(4-2) / 3^4] - [2^(4-2) x 3^(4-2)]
= [ 4/3^4] - [4x9]
= 4/81 - 36