\( \begin{aligned} 1.3(5 k-2)^{6} & = \\ & = \\ & = \\ 1.4\left(2 x-\frac{1}{x}\right)^{4} & = \end{aligned} \)

First additional information: The expression \( 1.3(5k-2)^{6} \) represents a polynomial function that can be expanded using the binomial theorem or a graphing calculator. This theorem allows you to expand powers of binomials, which can be quite handy when dealing with higher powers like 6! Second additional information: For \( 1.4\left(2x-\frac{1}{x}\right)^{4} \), again, using the binomial theorem will be immensely helpful. Remember to handle the fractional part cautiously during expansion. This is an excellent practice for enhancing your algebraic manipulation skills and can be used in real-world scenarios such as optimizing areas or understanding physical properties described by polynomials!