Question

Tính:

a/\(4^{11}:2^{10}:2^{11}\)

b/\(\dfrac{11.2^{11}-10.4^5}{16^3}\)

c/\(\left(2^5+14.2^4\right):2^3\)

d/\(A=12.\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}\)

Answer 1

a. 4¹¹ : 2¹⁰ : 2¹¹= 2²² : 2¹⁰:2¹¹= 2^22-10-11= 2

b. \(\dfrac{11.2^{11^{ }}-10.4^5}{16^3}\)=\(\dfrac{11.2^{11}-10.2^{10}}{2^{12}}\)= \(\dfrac{2^{10^{ }}\left(2.11-10\right)}{2^{12}}\)=3

c.(2⁵ +14.2⁴) : 2³= (2⁵+2.7.2⁴) :2³= (2⁵.(1+7) :2³= 2⁵ = 32

d. A = 12.(\(\dfrac{-2}{3}\))²+\(\dfrac{4}{3}\)= 12.\(\dfrac{4}{9}\) + \(\dfrac{4}{3}\) = \(\dfrac{16}{3}\)+\(\dfrac{4}{3}\)=\(\dfrac{20}{3}\)