49. \( \frac{6}{\sqrt{2}} \) kasrinin maxracini irrasionalliqdan azad

Evaluate \( \left(\left(-\frac{4}{3}\right)^{2}\right)^{3} \)

\( 2 \cdot \sqrt{(-4)^{2}}+\sqrt{(-7)^{2}}-3 \cdot \sqrt{(-5)^{2}} \quad \) v) \( \sqrt{6-2}+\sqrt{12-3}-\sqrt{15+1} \)

\[ f(x)=\frac{|x|}{x}=\left\{\begin{array}{lr}3 x-1, & x>3, \\ \mathrm{x}^{2}-2, & -2 \leq x \leq 3 \\ 2 x+3, & x<-2,\end{array}\right. \] d the values of \( f(2), f(4), f(-1), f(-3) \) and \( \mathrm{f}(0) \).

If \( R \) is a relation \( { }^{\prime}<{ }^{\prime} \) from \( A=\{1,2,3,4] \) to \( B=\{1,3,5\} \). i.e. \( (a, b) \in R \) if and only if \( x<b \), then find \( R \circ R^{-1} \). solution:

4.13 If \( n \) is the largest integer for which \( n^{200}<5^{300} \), determine the value (NOV 2020) of \( n \).