Question Number 194884 by cortano12 last updated on 18/Jul/23
$$\:\:\:\:\:\:{x}!\:=\:\mathrm{6}!.\:\mathrm{7}!\: \\ $$$$\:\:\:\:\:\:{x}^{\mathrm{2}} \:=?\: \\ $$
Answered by AST last updated on 18/Jul/23
$$=\mathrm{7}!×\left(\mathrm{2}×\mathrm{3}\right)×\mathrm{5}×\mathrm{4}×\mathrm{3}×\mathrm{2}×\mathrm{1}= \\ $$$$\mathrm{7}!×\left(\mathrm{4}×\mathrm{2}\right)×\left(\mathrm{3}×\mathrm{3}\right)×\left(\mathrm{5}×\mathrm{2}\right)=\mathrm{10}!={x}!\Rightarrow{x}^{\mathrm{2}} =\mathrm{100} \\ $$