(3/5)2003:(9/25)1000=
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\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)
\(=\left(\frac{3}{5}\right)^{2003}:\left(\left(\frac{3}{5}\right)^2\right)^{1000}\)
\(=\left(\frac{3}{5}\right)^{2003}:\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{3}{5}\right)^3\)
\(=\frac{27}{125}\)
\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}.\left[\left(\frac{3}{5}\right)^2\right]^{1000}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}.\left(\frac{9}{25}\right)^{1000}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}\)
\(\left(\frac{2}{5}\right)^{2003}\div\left(\frac{9}{25}\right)^{1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3^2}{5^2}\right)^{1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3}{5}\right)^{2.1000}\)
\(=\left(\frac{2}{5}\right)^{2003}\div\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{2}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\div\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{2}{5}\right)^{2000}\div\left(\frac{3}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\left(\frac{2}{5}:\frac{3}{5}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\left(\frac{2}{3}\right)^{2000}.\left(\frac{2}{5}\right)^3\)
\(=\frac{2^{2000}.2^3}{3^{2000}.5^3}\)
\(=\frac{2^{2003}}{3^{2000}.5^3}\)
C = 1 + (-3) + 5 + (-7) +...+ 2001 + (-2003)
C= (1 - 2003) + (2001 - 3) + (5 - 1999) + (1997 - 7) +...+ (1001 - 1003)
C= -2002 + 1998 - 1994 + 1990 +....-2
C= (-4) + (-4) +....+ (-4) - 2 (250 cặp (-4) )
C= 250 x (-4) - 2
C= -1000 - 2 = -1002
D = (-1001) + (-1000) + (-999) +...+ 1001 + 1002
D= (1001 - 1001) + (1000 - 1000) +...+ (1-1) + 0 + 1002
D= 0 + 0 +... + 0 + 0 + 1002
D= 1002
\(8\frac{2}{10}\)= 8,2.
\(19\frac{25}{100}\)=19,25.
\(61\frac{9}{10}\)= 61,9.
\(2\frac{625}{1000}\)= 2,625.
\(5\frac{3}{100}\)= 5,03.
\(88\frac{207}{1000}\)= 88,207.
\(80\frac{5}{1000}\)= 80,005.
k nha
(\(\frac{3}{5}\))3