Answer:
6^2
Step-by-step explanation:
Question:-
- To simplify the given expression
Expression:-
- [tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
Solution:-
[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
- [As we know, a^x . a^y = a^(x+y)]
[tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
- [As we know, a^x / a^y = a^(x-y)]
[tex] = {6}^{(7 - 5)} [/tex]
[tex] = {6}^{2} (ans)[/tex]
