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\(A=\dfrac{3^{32}\cdot2^{33}}{2^{33}\cdot3^{33}}=\dfrac{1}{3}\)
\(B=\dfrac{3^6\cdot5^{10}\cdot2^5}{2\cdot5^{14}\cdot3^{14}\cdot3^2\cdot2}=\dfrac{2^3}{3^8\cdot5^4}\)
( \(\frac{2}{3}\)- \(\frac{1}{4}\)+ \(\frac{5}{11}\)) : ( \(\frac{5}{12}\)+ 1 - \(\frac{7}{11}\))
= ( \(\frac{5}{12}\)+ \(\frac{5}{11}\)) : ( \(\frac{5}{12}\)+ \(\frac{4}{11}\))
= \(\frac{115}{132}\): \(\frac{103}{132}\)
= \(\frac{115}{103}\)
(2/3 - 1/4 +5/11 ) : ( 5/12 +1 - 7/11 )
= ( 5/12 +5/11 ) : ( 17/12-7/11 )
= 115/132:103/132
=115/132*132/10
=115/103
a; \(\dfrac{3}{11}\) + \(\dfrac{5}{-9}\) + \(\dfrac{4}{11}\) - \(\dfrac{4}{9}\) + \(\dfrac{3}{17}\) + \(\dfrac{15}{11}\)
= (\(\dfrac{3}{11}\) + \(\dfrac{4}{11}\) + \(\dfrac{15}{11}\)) - (\(\dfrac{5}{9}\) + \(\dfrac{4}{9}\)) + \(\dfrac{3}{17}\)
= 2 - 1 + \(\dfrac{3}{17}\)
= 1 + \(\dfrac{3}{17}\)
= \(\dfrac{20}{17}\)
c; N = \(\dfrac{\dfrac{5}{7}-\dfrac{5}{9}-\dfrac{5}{11}}{\dfrac{15}{7}+\dfrac{15}{9}+\dfrac{15}{11}}\)
Phải là - \(\dfrac{5}{7}\) chỗ tử số mới đúng em nhé!
Ta có \(M=\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{11}}=\frac{3\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}{4\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}=\frac{3}{4}\)
a: 10+8=18 chia hết cho 9
b: 1531 chia 2 dư 1
2001 chia 2 dư 1
=>1531+2001 chia 2 dư 2
=>1531+2001 chia hết cho 2
c: (10+5)=15 chia hết cho 3
10+5=15 ko chia hết cho 9
d:Sửa đề: 11+11^2+11^3+11^4+11^5+11^6
=11(1+11)+11^3(1+11)+11^5(1+11)
=12(11+11^3+11^5) chia hết cho 12
`3/13 . 6/11 + 3/13 . 9/11 - 3/13 . 4/11`
`= 3/13 . (6/11 + 9/11 - 4/11)`
`= 3/13 . 11/11`
`= 3/13 . 1 = 3/13`
3/7.9/11+3/7.5/11-3/7.25/11
=3/7.(9/11+5/11-25/11)
=3/7.(-1)
=-3/7
Có:
\(\dfrac{3}{16}.\dfrac{12}{11}+\dfrac{3}{16}.\dfrac{7}{11}-\dfrac{3}{16}.\dfrac{8}{11}\)
\(=\dfrac{3}{16}.\left(\dfrac{12}{11}+\dfrac{7}{11}-\dfrac{8}{11}\right)\) (Áp dụng tính chất phân phối)
\(=\dfrac{3}{16}.\left(\dfrac{11}{11}\right)=\dfrac{3}{16}.1=\dfrac{3}{16}\) (đpcm)
Chúc bạn học tốt!