When you multiply, the exponents are added. For example 3² × [tex]3^{7}[/tex] = [tex]3^{9}[/tex]
When you divide, the exponents are subtracted. For example [tex]4^{5}[/tex] ÷ [tex]4^{2}[/tex] = [tex]4^{3}[/tex]
This only works when the Base numbers are same: For example, you can't do this with [tex]5^{6}[/tex] ×[tex]9^{6}[/tex] , because the base of one is 5, and the other is 9. For it to work they would have to be the same.
Answer:
So for your question the answer would be: [tex]8^{6}[/tex] × [tex]8^{4}[/tex] = [tex]8^{10}[/tex] ( [tex]^{6}[/tex] + [tex]^{4}[/tex] = [tex]^{10}[/tex] )
