\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{braids}

\begin{document}
\begin{tikzpicture}[scale=0.4, every node/.style={scale=0.4}]
\pic[
  rotate=90,
  line width=1.5pt,
  braid/control factor=0,
  braid/nudge factor=0,
  braid/gap=0.11,
  braid/number of strands = 6,
  name prefix=braid,
] at (-0.25,0) {braid={
s_5^{-1}
s_4^{-1}
s_3^{-1}-s_5^{-1}
s_2^{-1}-s_4^{-1}
s_1^{-1}-s_3^{-1}-s_5^{-1}
s_2^{-1}-s_4^{-1}
s_3^{-1}-s_5^{-1}
s_4^{-1}
s_5^{-1}
}};
\node at (10.5,2.5) {\fontsize{40pt}{\baselineskip}\selectfont $=$};
\begin{scope}[shift={(12,0)}]
\pic[
  rotate=90,
  line width=1.5pt,
  braid/control factor=0,
  braid/nudge factor=0,
  braid/gap=0.11,
  braid/number of strands = 6,
  name prefix=braid,
] at (-0.25,0) {braid={
s_1^{-1}
s_2^{-1}
s_1^{-1}-s_3^{-1}
s_2^{-1}-s_4^{-1}
s_1^{-1}-s_3^{-1}-s_5^{-1}
s_2^{-1}-s_4^{-1}
s_1^{-1}-s_3^{-1}
s_2^{-1}
s_1^{-1}
}};
\end{scope}
\end{tikzpicture}
\end{document}