No, Yes, No, Yes
using the laws of exponents
(1)
([tex]4^{3}[/tex])³ = [tex]4^{9}[/tex]
4³ × 4³ = [tex]4^{6}[/tex]
[tex]4^{9}[/tex] ≠ [tex]4^{6}[/tex] → No
(2)
([tex]3^{4}[/tex])^4 = [tex]3^{16}[/tex]
[tex]3^{8}[/tex] × [tex]3^{8}[/tex] = [tex]3^{16}[/tex] → Yes
(3)
[tex]18^{8}[/tex] = (6 × 3 )^8 = [tex]6^{8}[/tex] × [tex]3^{8}[/tex] ≠ [tex]6^{4}[/tex] × [tex]3^{4}[/tex] → No
(4)
[tex]20^{3}[/tex] = (4 × 5 )³ = 4³ × 5³ → Yes
