vdfhc

\(\frac{11^5.13^7}{10^5.13^8}=\frac{11^5.13^7}{10^5.13^7.13}=\frac{11^5}{10^5.13}=\frac{11^5}{10^5}:13=\left(\frac{11}{10}\right)^5:13\)

mình chỉ rút gọn đc đến đây thui, còn lại mình ....... ko biết

\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=\frac{\left(-11\right)^5.13^7}{11^5.13^7}.\frac{1}{13}=-1.\frac{1}{13}=-\frac{1}{13}\)

(-11)⁵x13⁷/11⁵.13⁸=-1/13⁸

Chúc bạn học giỏi nha!!!

\(\frac{-11^5.13^7}{11^5.13^8}=\frac{-11^4.\left(-11\right).13^7}{11^4.11.13^7.13}=\frac{-11}{11.13}=\frac{-11}{143}\)

bằng -1/13

                                      ko tik xui nguyên năm gán chịu

\(\frac{-11^5.13^7}{11^5.13^8}=\frac{\left(-1\right).11^5.13^7}{11^5.13^7.13}=\frac{-1}{13}\)

\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.\left(3^{10}-3^9\right)}{2^9.3^{10}}=\frac{2^9.2.3^9.\left(3-1\right)}{2^9.3.3^9}=\frac{2.2}{3}=\frac{4}{3}\)

a, \(\frac{-11^5.13^7}{11^5.13^8}=\frac{-1}{13}\)

b, \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9.\left(1-3\right)}{2^9.3^{10}}=\frac{-4}{3}\)

\[\frac{{ - {{11}^5}{{.13}^7}}}{{{{11}^5}{{.13}^8}}} = \frac{{ - 1}}{{13}}\]

Hai câu a) và b) bạn chỉ cần xem số mũ rồi trừ số mũ là xong 

\(c)\) \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=\frac{2^{10}.3^9.2}{2^9.3^{10}}=\frac{2^{11}.3^9}{2^9.3^{10}}=\frac{2^2}{3}=\frac{4}{3}\)

\(d)\) \(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{35+9}=\frac{8}{44}=\frac{2}{11}\)

Chúc bạn học tốt 

Ta có : 21^0.3^10−2^10.3^9/2^9.3^10
=> 2^10.(3^10−3^9)/2^9.3^10
=> 2^10.3/2^9.3^10
=> 2/3^9=2/19683