Question

Tính:

a) C=\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)

b) D=\(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{2015.2016}\)

c) E=\(\frac{1}{3}-\frac{3}{4}+\frac{3}{5}+\frac{2}{1015}-\frac{1}{36}+\frac{1}{15}-\frac{2}{9}\)

Answer 1

b) D = \(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{2015.2016}\)

= \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{2015}-\frac{1}{2016}\)

= \(\frac{1}{2}-\frac{1}{2016}\)

Answer 2

a) C = \(\frac{\left(2^3\right)^{10}.\left(2^2\right)^{10}}{\left(2^3\right)^4.\left(2^2\right)^{11}}\)

= \(\frac{2^{3.10}.2^{2.10}}{2^{3.4}.2^{2.11}}\)

= \(\frac{2^{30}.2^{20}}{2^{12}.2^{22}}\)

= \(\frac{2^{50}}{2^{34}}\) = \(\frac{2^{16}.2^{34}}{1.2^{34}}\) = 2¹⁶

Answer 3

Bài c mk bí quá nên ko làm đc nhưng mong bn tick 2 bài dưới cho mk với nhé

CHÚC BẠN HỌC TỐT ^_^