.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]

=(5.3^11+12.3^11):[3^9.17]

=3^11.(5+12):(3^9.17)

=(3^11.17):(3^9.17)

=17.(3^11:3^9)

=17.3^2

=17.9

=153

tk nha

bai cua kacura dung nhung 4 dong cuoi la sai to

co khong co kieu phan phoi nhu vay ma phai thay la 3^11:3^9( nhan 17 chia 17 thi khi nao cung nhan duoc ket qua giong nhau)

                                                                           =3^2=9

\(A=\frac{2^4.3^3+2^3.3^4}{2^5.3^3-2^4.3^2}\)

\(A=\frac{2^3.3^3\left(2+3\right)}{2^4.3^2\left(2.3-1\right)}\)

\(A=\frac{2^3.3^3.5}{2^4.3^2.5}\)

\(A=\frac{3}{2}\)

\(A=\frac{2^4.3^3+2^3.3^4}{2^5.3^3-2^4.3^2}\)

\(A=\frac{2^3.3^3\left(2+3\right)}{2^4.3^2\left(2.3-1\right)}\)

\(A=\frac{2^3.3^3.5}{2^4.3^2.5}\)

\(A=\frac{3}{2}\)

Cái tên đặc sắc quá ha! :))

mik bít hết mấy người này luôn

1.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]

=(5.3^11+12.3^11):[3^9.17]

=3^11.(5+12):(3^9.17)

=(3^11.17):(3^9.17)

=17.(3^11:3^9)

=17.3^2

=17.9

=153

2.(1²+2²+3²+...+99²+100²).(36.333-108.111)

=2.(1²+2²+3²+...+99²+100²).(36.333-36.3.111)

=2.(1²+2²+3²+...+99²+100²).(36.333-36.333)

=2.(1²+2²+3²+...+99²+100²).0

=0

\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.5.11.5^2}\)

\(=\frac{2^4.3^4.5^4.11^2}{2^5.3^4.5^3.11^2}=\frac{1.1.5.1}{2.1.1.1}=\frac{5}{2}\)

\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}\)

\(=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.11.5.5^2}\)

\(=\frac{5^4.11^2.2^4.3^4}{2^5.3^4.11^2.5^3}\)

\(=\frac{\left(5^3.11^2.2^4.3^4\right).5}{\left(5^3.11^2.2^4.3^4\right).2}\)

\(=\frac{5}{2}\)

\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)

\(=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{2^{12}.3^6+\left(2^3\right)^4.3^5}-\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{12}}\)

\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6-2^{12}.3^5}-\frac{2^{12}.3^{10}-2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{12}.3^{12}}\)

\(=\frac{2^{12}.\left(3^5-3^4\right)}{2^{12}.\left(3^6-3^5\right)}-\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}+2^{12}.3^{12}}\)

\(=\frac{3^5-3^4}{3^6-3^5}-\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{13}.3^{12}}\)

\(=\frac{162}{486}-\frac{2^{12}.3^{10}.\left(-4\right)}{2^{13}.3^{10}.3^2}=\frac{1}{3}-\frac{2^{14}.3^{10}.\left(-1\right)}{2^{13}.3^{10}.9}\)

\(=\frac{1}{3}-\frac{2.1.\left(-1\right)}{1.1.9}=\frac{1}{3}-\frac{2}{9}=\frac{1}{9}\)