Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
(b)
[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]
(c)
[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]
(d)
[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²
