Các câu hỏi tương tự
Cho frac{a}{b}frac{c}{d}. Chứng minh:a) frac{left(a-bright)^3}{left(c-dright)^3}frac{3a^2+2b^2}{3c^2+2d^2}b)frac{4a^4+5b^4}{4c^4+5d^4}frac{a^2b^2}{c^2d^2}c)left(frac{a-b}{c-d}right)^{2005}frac{2a^{2005}-b^{2005}}{2c^{2005}-d^{2005}}d)frac{2a^{2005}+5b^{2005}}{2c^{2005}+5d^{2005}}frac{left(a+bright)^{2005}}{left(c+dright)^{2005}}e)frac{left(20a^{2006}+11b^{2006}right)^{2007}}{left(20a^{2007}-11b^{2007}right)^{2006}}frac{left(20c^{2006}+11d^{2006}right)^{2007}}{left(20c^{2007}-11d^{2007}right)^{20...
Đọc tiếp
Cho \(\frac{a}{b}=\frac{c}{d}\). Chứng minh:
a) \(\frac{\left(a-b\right)^3}{\left(c-d\right)^3}=\frac{3a^2+2b^2}{3c^2+2d^2}\)
b)\(\frac{4a^4+5b^4}{4c^4+5d^4}=\frac{a^2b^2}{c^2d^2}\)
c)\(\left(\frac{a-b}{c-d}\right)^{2005}=\frac{2a^{2005}-b^{2005}}{2c^{2005}-d^{2005}}\)
d)\(\frac{2a^{2005}+5b^{2005}}{2c^{2005}+5d^{2005}}=\frac{\left(a+b\right)^{2005}}{\left(c+d\right)^{2005}}\)
e)\(\frac{\left(20a^{2006}+11b^{2006}\right)^{2007}}{\left(20a^{2007}-11b^{2007}\right)^{2006}}=\frac{\left(20c^{2006}+11d^{2006}\right)^{2007}}{\left(20c^{2007}-11d^{2007}\right)^{2006}}\)
f)\(\frac{\left(20a^{2007}-11c^{2007}\right)^{2006}}{\left(20a^{2006}+11c^{2006}\right)^{2007}}=\frac{\left(20b^{2007}-11d^{2007}\right)^{2006}}{\left(20b^{2006}+11d^{2006}\right)^{2007}}\)
Tính nhanh
f) \(\frac{2.6^9-2^5.18^4}{2^6.6^8}\)
Tính :
a, \(\frac{15}{1.6}.\frac{15}{6.11}.\frac{15}{11.16}...\frac{15}{2011.2016}\)
b, \(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}:\sqrt{\frac{25}{9}}\)
C=\(\frac{\frac{2006}{2}}{\frac{2006}{1}}\) +\(\frac{2006}{\frac{3}{\frac{2005}{2}}}\) +\(\frac{2006}{\frac{4}{\frac{2004}{3}}}\) +...+\(\frac{2006}{\frac{2007}{\frac{1}{2006}}}\)
Tính nhanh :
f) \(\frac{2.6^9-2^5.18^4}{2^6.6^8}\)
h) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
1/ Rút gọn
\(A=\frac{4^5.9^4-2.6^9}{2^{10}.3^8-6^8.20}\)
\(B=\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
2/ Tìm x
\(\frac{7^{x+2}+7^{x+1}+7^x}{57}=\frac{5^{2x}+5^{2x+1}+5^{2x+3}}{131}\)
BT1: Tìm n thuộc Z
\(\frac{1}{9}.27^n=3^n\)
\(\left(\frac{3}{7}\right)^n=\frac{81}{2401}\)
BT2: Tính
\(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(\frac{2.8^4.27^2+4.6^9}{2^7.6^6+2^7.40.9^4}\)
Cho C= \(\frac{7}{3^2.4^2}+\frac{9}{4^2.5^2}+\frac{11}{5^2.6^2}+.....\frac{29}{14^2.15^2}\)
CMR: C<\(\frac{1}{5}\)
1,Tínha,frac{3}{4}-frac{-1}{2}+frac{1}{3}b,5frac{5}{27}+frac{7}{23}+frac{1}{2}-frac{5}{27}+frac{16}{23}2,Tìm xa,frac{1}{2}+frac{2}{3}xfrac{1}{4}b,frac{3}{5}+frac{2}{5}div x3frac{1}{2}c,frac{x+4}{2004}+frac{x+3}{2005}frac{x+2}{2006}+frac{x+1}{2007}Giúp mình với nhé mai mình phải nộp rồi
Đọc tiếp
1,Tính
a,\(\frac{3}{4}-\frac{-1}{2}+\frac{1}{3}\)
b,\(5\frac{5}{27}+\frac{7}{23}+\frac{1}{2}-\frac{5}{27}+\frac{16}{23}\)
2,Tìm x
a,\(\frac{1}{2}+\frac{2}{3}x=\frac{1}{4}\)
b,\(\frac{3}{5}+\frac{2}{5}\div x=3\frac{1}{2}\)
c,\(\frac{x+4}{2004}+\frac{x+3}{2005}=\frac{x+2}{2006}+\frac{x+1}{2007}\)
Giúp mình với nhé mai mình phải nộp rồi