Question

\(\frac{5^2.6^{11}.16^2.6^2.12^6.15^2}{2.6^{12}.10^4.81^2.960^3}\)=?

Answer 1

 

\(=\frac{5^2.2^{11}.3^{11}.\left(2^4\right)^2.2^2.3^2.3^6.\left(2^2\right)^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4.\left(3^4\right)^2.2^{18}.3^3.5^3}=\frac{2^{33}.3^{21}.5^4}{2^{35}.3^{23}.5^7}=\frac{1}{2^2.3^2.5^3}\)

Answer 2

=\(\frac{1}{4500}\)

Answer 3

\(\frac{5^2.6^{11}.16^26^2.12^6.15^2}{2.6^{12}.10^4.81^2.960^3}=\frac{5.6^{11}.6^2.6^2.6^6.2^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4.3^8.2^{15}.3^3}\)=\(\frac{5^6.6^{21}.2^8.3^2}{2^{32}.3^{23}.5^4}=\frac{5^6.2^{23}.2^{29}}{2^{32}.3^{23}.5^4}=\frac{5^6.2^{52}}{2^{32}.3^{23}.5^4}=\frac{5^2.2^{20}}{3^{23}}\)