`c)A=(9^4*27^5*3^6*3^5)/(3^8*81^4*234*8^2)`
`A=(3^8*3^15*3^11)/(3^8*3^16*3^2*2*13*2^6)`
`A=(3^34)/(3^36*2^8*13)`
`A=1/(3^2*2^8*13)`
`B=(4^6*9^5+6^9.120)/(8^4*3^12-6^11)`
`B=(2^12*3^15+2^12*3^10*5)/(2^12*3^12-2^11*3^11)`
`B=(2^12*3^10(3^5+5))/(2^11*3^11*(6-1))`
`B=(2^12*3^10*248)/(2^11*3^11*5)`
`B=(248*2)/(3*5)`
`B=496/15`
c) A = \(\dfrac{9^4.27^5.3^6.3^5}{3^8.81^4.234.8^2}=\dfrac{3^8.3^{15}.3^6.3^5}{3^8.3^{16}.2.3^2.13.2^6}=\dfrac{3^{34}}{3^{26}.2^7.13}=\dfrac{3^8}{2^7.13}\)
d) B =\(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\dfrac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}\left(2.3-1\right)}=\dfrac{2^{12}.3^{10}.6}{2^{11}.3^{11}.5}=\dfrac{2.6}{3.5}=\dfrac{4}{5}\)