[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\textsf{\textbf{\underline{\underline{Answer : \:}}}}}}[/tex]
Theme : Powers
❀ We solve in a common way:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf {6}^{2} \div {6}^{2} = \: \: \: \: \: \: \: \: \: \sf\\ \: \: \: \: \: \: \: \: \sf (6 \times 6) \: \: \div (6 \times 6) = \sf \sf \\ \sf36 \div 36 = \ \\ \sf1\ [/tex]
❀ We resolve to apply the property:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf {6}^{2} \sf\div {6}^{2} = \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{6}^{2 - 2} = \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \sf {6}^{0} = \\ \: \: \: \: \: \: \: \: \: \: \: \: \sf1[/tex]
❀ Property:
The property of division of powers with the same base tells us that when two powers that have the same base are divided, the same base is kept and the exponents are subtracted.
[tex]~\sf{Atte: Murdock:)}[/tex]
