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1.
\(\frac{2106}{7320};\frac{4212}{14604};\frac{6318}{21960}\)
Ta có:\(\frac{2106}{7320}=\frac{2106:3}{7320:3}=\frac{702}{2440}\)
\(\frac{4212}{14604}=\frac{4212:6}{14604:6}=\frac{702}{2434}\)
\(\frac{6318}{21960}=\frac{6318:9}{21960:9}=\frac{702}{2440}\)
=>\(\frac{2106}{7320}=\frac{6318}{21960}\)
2.Rút gọn
\(2^5.7+\frac{2^5}{2^5.5^2}-2^5.3=2^5.7+\frac{1}{25}-2^5.3=2^5.\left(7-5\right)+\frac{1}{25}=32.2+\frac{1}{25}=64+\frac{1}{25}=\frac{1600}{25}+\frac{1}{25}=\frac{1601}{25}\)
2.
\(\frac{2^5.7+2^5}{2^5.5^2-2^5.3}=\frac{2^5.\left(7+1\right)}{2^5.\left(25-3\right)}=\frac{8}{22}=\frac{4}{11}\)
\(\frac{121.75.130.169}{39.60.11.198}=\frac{11.11.25.3.10.13.13.13}{3.13.10.6.11.11.18}=\frac{5.5.13.13}{6.18}=\frac{4225}{108}\)
b)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{\left(-5\right)}{3^2}=\frac{\left(-5\right)}{9}\)
\(\frac{4212}{14640}=\frac{4212:2}{14640:2}=\frac{2106}{7320}\)
\(\frac{6318}{21960}=\frac{6318:3}{21960:3}=\frac{2106}{7320}\)
Vậy\(\frac{2106}{7320}=\frac{4212}{14640}=\frac{6318}{21960}\)
33000 = ( 33 )1000 = 271000
42000 =( 42 )1000 = 161000
Vì 271000 > 161000 nên 33000 > 42000
Ta co : 33000 = (3.3)1000 = 91000
42000 = (4.2)1000 = 81000
Vì : 9 > 8 nên 91000 > 81000.
Vay 33000 > 42000
k mk nha bn
\(\dfrac{-3}{5}\) và \(\dfrac{4}{-5}\) = \(\dfrac{-3}{5}\) và \(\dfrac{-4}{5}\)
Vì (-3) > (-4) => \(\dfrac{-3}{5}>\dfrac{-4}{5}\)
Vậy \(\dfrac{-3}{5}>\dfrac{4}{-5}\)
\(\frac{2106}{7320}=\frac{351}{1220}\)
\(\frac{4212}{14604}=\frac{351}{1217}\)
\(\frac{6318}{21960}=\frac{351}{1220}\)
=> \(\frac{351}{1217}>\frac{351}{1220}\);\(\frac{351}{1217}>\frac{351}{1220}\)
Vậy : \(\frac{2106}{7320}< \frac{6318}{21960}\);\(\frac{4212}{14604}>\frac{6318}{21960}\)
Ta có:
\(\frac{2106}{7320}=\frac{2106:3}{7320:3}=\frac{720}{2440}\) (1)
\(\frac{4212}{14604}=\frac{4212:6}{14604:6}=\frac{702}{2434}\)
\(\frac{6218}{21960}=\frac{6218:9}{21960:9}=\frac{702}{2440}\) (2)
Từ (1) và (2)=>\(\frac{2106}{7320}=\frac{6318}{21960}\)