a/\(\frac{2^3\cdot3^4}{2^2\cdot3^2\cdot5}=\frac{18}{5}\)\(\frac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=\frac{2\cdot11}{5\cdot7}=\frac{22}{35}\)

b/\(\frac{121\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}=\frac{11^2\cdot5^3\cdot13^3\cdot2\cdot3}{2^3\cdot3^4\cdot5\cdot11^2\cdot13}=\frac{5^2\cdot13^2}{2^2\cdot3^3}=\frac{4225}{108}\)

c/\(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}=\frac{2^2\cdot3^3\cdot37\cdot5\cdot199+2\cdot3^2\cdot13\cdot17}{2^3\cdot3\cdot83\cdot11\cdot181-2^4\cdot3\cdot83}=\frac{2\cdot3^2\cdot11\cdot20101}{2^3\cdot3^3\cdot13\cdot17\cdot83}=\frac{11\cdot20101}{2^2\cdot3\cdot13\cdot17\cdot83}\)

\(=\dfrac{1989\left(1990+2\right)}{1992\left(1991-2\right)}=\dfrac{1989}{1989}\cdot\dfrac{1992}{1992}=1\)

$\left(1989.1990+3978\right):\left(1992.1991-3984\right)$

$=\left[1989.\left(1990+2\right)\right]:\left[1992\left(1991-2\right)\right]=\left(1989.1992\right):\left(1992.1989\right)=1$

\(\left(1989.1990+3978\right):\left(1992.1991-3984\right)\)

\(=\left[1989.\left(1990+2\right)\right]:\left[1992\left(1991-2\right)\right]=\left(1989.1992\right):\left(1992.1989\right)=1\)

1989 . 1990 + 3978 1992 . 1991 − 3984  ⇒  1989 . 1990 + 1989 . 2 1992 . 1991 − 1992 . 2  ⇒  1989 . ( 1990 + 2 ) 1992 . ( 1991 + 2 )    ⇒  1989 . 1992 1992 . 1989  ⇒  1

dấu chấm là dấu nhân

3972036,001 hoặc 3976023,985

Mik sửa lại đề

\(\frac{1989.1990+3978}{1992\cdot1991-3984}\)

Trả lời

\(\frac{1989.1990+3978}{1992.1991-3984}\)

\(=\frac{1989.1990+1989\cdot2}{1992.1991-1992.2}\)

\(=\frac{1989.\left(1992-2\right)}{1992\left(1991-2\right)}\)

\(=\frac{1989.1990}{1992.1989}\)

\(=\frac{1990}{1992}\)

\(=\frac{995}{996}\)

á đù đúng kwqo ưqffjoisdifadlsdfrgdfgdsfgr

giúp mk vs

Câu thứ 2 hình như bị sai đề

1998 sửa thành 1989

Ta có:

\(\frac{121.75.130.169}{39.60.11.198}=\frac{11^2.3.5^2.2.5.13.13^2}{3.13.2^2.3.5.11.2.3^2.11}=\frac{11^2.3.5^3.2.13^3}{3^4.13.2^3.5.11^2}=\frac{5^2.13^2}{3^3.2^2}=\frac{4225}{108}\)

\(\frac{1998.1990+3978}{1992.1991-3984}=\frac{2.3^3.37.2.5.199+2.3^2.13.17}{2^3.3.83.11.181-2^4.3.83}=\frac{2.3^2\left(3.37.2.5.199+13.17\right)}{2^3.3.83\left(11.181-2\right)}=\frac{3.221111}{2^2.83.1989}\)

b)\(\frac{1989.1990+3978}{1992.1991-3984}=\frac{1989.1990+1989.2}{1992.1991-1992.2}=\frac{1989.\left(1990+2\right)}{1992.\left(1991-2\right)}=\frac{1989.1992}{1992.1989}=1\)

Chúc bn học tốt

a)\(\frac{121.75.130.169}{39.60.11.198}=\frac{11^2.3.5^2.2.5.13.13^2}{3.13.2^2.3.5.11.2.3^2.11}=\frac{2.3.5^3.11^2.13^3}{2^3.3^4.5.11^2.13}\)\(=\frac{5^2.13^2}{2^2.3^3}=\frac{25.169}{4.27}=\frac{4225}{108}=39\frac{13}{108}\)

b)\(\frac{1998.1990+3978}{1992.1991-3984}\)đề có sai không bạn bn nói nhanh mk làm phần b cho

Chúc bn học tốt