\(\left(\frac{3}{5}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}\)
tính nhanh mk dag thi
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kết quả phép tính \(\left(\frac{3}{5}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}\)là ?
\(\left(\frac{3}{5}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}=\left(\frac{3}{5}\right)^{2012}:\left(\frac{3}{5}\right)^{2000}=\left(\frac{3}{5}\right)^{12}\)
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\(\left(\frac{3}{5}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}=\left(\frac{3}{5}\right)^{2012}:\left[\left(\frac{3}{5}\right)^2\right]^{1000}=\left(\frac{3}{5}\right)^{2012}:\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{3}{5}\right)^{12}\)
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Tính: \(\left(\frac{3}{2}\right)^{2012}:\left(\frac{9}{25}\right)^{1000}\)là ?
Tính nhanh :
(5+10+15+....+1000)+\(\left(\frac{2}{5}:0,5+2.\left(-0,4\right)\right):\left(\frac{1}{5}+\frac{1}{10}+....+\frac{1}{2012}\right)\)
bai 1 :thuc hien phep tinh
a)\(\frac{-5}{2}:\left(\frac{3}{4}-\frac{1}{2}\right)\) b) \(11\frac{3}{13}-\left(2\frac{4}{7}+5\frac{3}{13}\right)\) c)\(\left(\frac{-5}{24}+0,75+\frac{7}{12}\right):\left(-2\frac{1}{4}\right)^2\)
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4 tháng 7 2016 lúc 19:47
Tính : \(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)
\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)
\(=\left(\frac{3}{5}\right)^{2003}:\left(\left(\frac{3}{5}\right)^2\right)^{1000}\)
\(=\left(\frac{3}{5}\right)^{2003}:\left(\frac{3}{5}\right)^{2000}\)
\(=\left(\frac{3}{5}\right)^3\)
\(=\frac{27}{125}\)
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\(\left(\frac{3}{5}\right)^{2003}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}.\left[\left(\frac{3}{5}\right)^2\right]^{1000}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}.\left(\frac{9}{25}\right)^{1000}:\left(\frac{9}{25}\right)^{1000}\)
\(=\frac{3}{5}\)
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\(=0:\left(\frac{9}{25}\right)^{1000}\)
\(=0.\left(\frac{25}{9}\right)^{1000}\)
\(=0\)
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Xem thêm câu trả lời
c\(\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right)....\left(1+\frac{2012}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)....\left(1+\frac{1000}{2012}\right)}\)
\(\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right).......\left(1+\frac{2012}{100}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right).....\left(1+\frac{1000}{2012}\right)}\)
Rút gọn :
a/ \(A=\frac{\frac{1}{19}+\frac{2}{18}+\frac{3}{17}+...+\frac{19}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{20}}\)
b/ \(B=\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right)...\left(1+\frac{2012}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)...\left(1+\frac{1000}{2012}\right)}\)
Giúp mik vớiTính nhanh:a. Aleft(-1right)^{2n}.left(-1right)^n.left(-1right)^{n+1}left(nin Nright)b. Bleft(10000-1^2right)left(10000-2^2right)left(10000-3^2right)..left(10000-1000^2right)c. Cleft(frac{1}{125}-frac{1}{1^3}right)left(frac{1}{125}-frac{1}{2^3}right)left(frac{1}{125}-frac{1}{3^3}right)...left(frac{1}{125}-frac{1}{25^3}right)d. D1999^{left(1000-1^3right)left(1000-2^3right)left(1000-3^3right)...left(1000-10^3right)}
Đọc tiếp
Giúp mik với
Tính nhanh:
a. A=\(\left(-1\right)^{2n}.\left(-1\right)^n.\left(-1\right)^{n+1}\left(n\in N\right)\)
b. B=\(\left(10000-1^2\right)\left(10000-2^2\right)\left(10000-3^2\right)..\left(10000-1000^2\right)\)
c. C=\(\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)\left(\frac{1}{125}-\frac{1}{3^3}\right)...\left(\frac{1}{125}-\frac{1}{25^3}\right)\)
d. D=\(1999^{\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-10^3\right)}\)
a) \(A=\left(-1\right)^{2n}.\left(-1\right)^n.\left(-1\right)^{n+1}=\left(-1\right)^{3n+1}\)
b) \(B=\left(10000-1^2\right)\left(10000-2^2\right).........\left(10000-1000^2\right)\)
\(=\left(10000-1^2\right)\left(10000-2^2\right)......\left(10000-100^2\right)....\left(10000-1000^2\right)\)
\(=\left(10000-1^2\right)\left(10000-2^2\right).....\left(10000-10000\right).....\left(10000-1000^2\right)=0\)
c) \(C=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)..........\left(\frac{1}{125}-\frac{1}{25^3}\right)\)
\(=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right).....\left(\frac{1}{125}-\frac{1}{5^3}\right)......\left(\frac{1}{125}-\frac{1}{25^3}\right)\)
\(=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)........\left(\frac{1}{125}-\frac{1}{125}\right).....\left(\frac{1}{125}-\frac{1}{25^3}\right)=0\)
d) \(D=1999^{\left(1000-1^3\right)\left(1000-2^3\right)........\left(1000-10^3\right)}\)
\(=1999^{\left(1000-1^3\right)\left(1000-2^3\right)........\left(1000-1000\right)}=1999^0=1\)