Respuesta :
1) [tex]x^2x^3[/tex]
[tex]=x^{2+3}[/tex]
[tex]=x^5\\[/tex]
2) [tex]a^9a[/tex]
[tex]=a^{9+1}[/tex]
[tex]=a^{10}[/tex]
3) [tex]\left(4x^2\right)\left(3x^5\right)[/tex]
[tex]=4\cdot \:3x^{2+5}[/tex]
[tex]=4\cdot \:3x^7[/tex]
[tex]=12x^7[/tex]
[tex]\huge\mathtt\orange{\underline{\overline{\color{blue}{\mid{\color{green}{Answer}}{\mid}}}}}[/tex]
by using indices rule
which is
[tex]☞\:{a}^{m}\:×\:{a}^{n}\:=\:{a}^{m\:+\:n}[/tex]
.
[tex]⟶\:{x}^{2}\:•\:{x}^{3}[/tex]
[tex]⟶\:{x}^{5}[/tex]
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[tex]⟶\:{a}^{9}\:•\:a[/tex]
[tex]⟶\:{a}^{10}[/tex]
__________________________________
[tex]⟶\:{(4x)}^{2}\:•\:{(3x)}^{5}[/tex]
[tex]⟶\:{12x}^{7}[/tex]