Bài 1: Rút gọn
B= \(\dfrac{1}{2}\)+ (\(\dfrac{1}{2}\))\(^2\)+ (\(\dfrac{1}{2}\))\(^3\)+ (\(\dfrac{1}{2}\))\(^4\)+............+ (\(\dfrac{1}{2}\))\(^{98}\)+ (\(\dfrac{1}{2}\))\(^{99}\)
Bài 2: Tính
a) \(\dfrac{45^{10}.2^{10}}{75^{15}}\)
b) \(\dfrac{2^{15}.9^4}{6^3.8^3}\)
c)\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
d) \(\dfrac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
Bài 3: Tìm x, biết
a) (2\(x\) + 4)\(^2\) = \(\dfrac{1}{4}\)
b) (2\(x\) - 3)\(^2\) = 36
c) 5\(^{x+2}\) = 625
d) (\(x\) - 1) \(^{x+2}\) = (\(x\) - 1)\(^{x+4}\)