a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)

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

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

d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)

giúp mk vs nha

mấy bạn tính nhanh cho mình câu này với

        5 mũ 5 : 5 mũ 3 - 5

\(\frac{5}{7}.\frac{12}{11}+\frac{9}{7}.\frac{2}{11}-\frac{5}{7}.\frac{14}{11}\)

\(=\frac{1}{7}.\frac{1}{11}.\left(5.12+9.2-5.14\right)\)

\(=\frac{1}{77}.\left(60+18-70\right)\)

\(=\frac{1}{77}.8=\frac{8}{77}\)

\(\frac{8}{77}\)nghe bn

Mình quên viết số 1 ở phần 7^1. nó là 7^11 nhé

\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{11}+9.5^{11}.7^{11}}\)

\(=\frac{5^{11}.7^{11}.7^1+5^{11}.7^{11}}{5^{11}.5^1.7^{11}+3^2.5^{11}.7^{11}}\)

\(=\frac{5^{11}.\left(7^{11}+7^{11}\right).7^1}{5^{11}.\left(7^{11}+7^{11}\right).5^1.3^2}\)

\(=\frac{7}{5.3^2}\)

\(=\frac{7}{45}\)

-5/7 . 2/11 + -5/7 . 9/11 + 12/7

= -5/7 ( 2/11 + 9/11 ) + 12/7

= -5/7 . 1 +12/7 

= -5/7 + 12/7 

= 1

\(\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{7}{12}\Rightarrow\frac{-5}{7}+\frac{7}{12}=\frac{-11}{84}\)

\(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+\frac{12}{7}\)

\(=\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)

\(=\frac{-5}{7}.1+\frac{12}{7}\)

\(=\frac{-5}{7}+\frac{12}{7}\)

\(=1\)

CHÚC BN HỌC TỐT!!

\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)

=\(\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}\)

= \(\frac{8}{35+9}\)

= \(\frac{8}{44}\)

= \(\frac{2}{11}\)