Question

Ofer 50 puncte celui mai rapid si bun raspuns ​

Answer 1

Răspuns:

-8∈Z

Explicație pas cu pas:

vezi atasament

Answer 2

$\left(\left|\dfrac{1}{3^{34}}-\dfrac{1}{2^{51}}\right|+\dfrac{1}{9^{17}}\right):\left(-\dfrac{1}{4}\right)^{27}= \\ \\ =\left(\left|\dfrac{1}{3^{2\cdot 17}}-\dfrac{1}{2^{3\cdot 17}}\right|+\dfrac{1}{9^{17}}\right):\left(-\dfrac{1}{4}\right)^{27} \\ \\ = \left(\left|\dfrac{1}{9^{17}}-\dfrac{1}{8^{17}}\right|+\dfrac{1}{9^{17}}\right):\left(-\dfrac{1}{4}\right)^{27}\\ \\ = \left(\dfrac{1}{8^{17}}-\dfrac{1}{9^{17}}+\dfrac{1}{9^{17}}\right):\left(-\dfrac{1}{4}\right)^{27}$

$=\dfrac{1}{8^{17}}:\left(-\dfrac{1}{4}\right)^{27}\\ \\ = \dfrac{1}{2^{3\cdot 17}}:\left(-\dfrac{1}{4^{27}}\right) \\ \\ = \dfrac{1}{2^{51}}:\left(-\dfrac{1}{2^{54}}\right)\\ \\ = -\dfrac{2^{54}}{2^{51}}\\ \\ = -2^3\\ \\ = \boxed{-8\in \mathbb{Z}}$