CMR :
\(\dfrac{3}{1^2.2^2}+\dfrac{5}{2^2.3^2}+......+\dfrac{4019}{2009^2.2010^2}< 1\)
1 tính
a. \((\left|-5\right|7^4+3^2.2\dfrac{2}{5}):(7^5.125.7^3.50)\)
b. \((\dfrac{3^2}{9}.\dfrac{3^3}{81})^{12}:(\dfrac{3^6}{81^2})^{10}\)
c. \([(\dfrac{1}{2})^2.(\dfrac{1}{3})^4.\dfrac{2}{7}]:\left(\dfrac{1}{3}\right)^{-2}.\dfrac{-2^2}{7}\)
2.2^2+3.2^3+4.2^4+...+(n-1).2^n-1+n.2^n=2^n+34 tìm n
3/2.4^x+5/3.4^x 2=3/2.4^8+5/3.4^10
(1/2.3/4) và (1/2)mũ 3 . (3/4) mũ 3
Cho E=2^15.0,5^5+3.2^10/2^11.2^3-2^15:2^3 Cho F=2.6^7+6^8/2^5.9^4-2.3^7+3^8 Cho G=4^5.9^4-2.6^9/2^10.3^8+6^8.20
Rút gọn:
a) \(\dfrac{2^{19}\cdot27^3+15\cdot4^9\cdot9^4}{6^9\cdot2^{10}+2^{10}}\)
b) \(\dfrac{\left(-\dfrac{1}{2}\right)^3-\left(\dfrac{3}{4}\right)^3\cdot\left(-2\right)^2}{2\cdot\left(-1\right)+\left(\dfrac{3}{4}\right)^2-\left(\dfrac{3}{8}\right)}\)
A=2^12.3^5-4^6.9^2\(2^2.3)^6+8^4.3^5 - 5^10.7^3-25^5.49^2\(125.7)^3+5^9.14^3
Tìm x
2\(^{^{ }-2}\).2\(^x\)+2.2\(^x\)=9.2\(^6\)
3\(^{-2}\).3\(^4\).3\(^x\)=3\(^7\)