Respuesta :
4) Answer = [tex]5x^8[/tex]
[tex]\left(3x^6\right)\left(5x^2\right)[/tex]
[tex]=3\cdot \:5x^{6+2}[/tex]
[tex]=3\cdot \:5x^8[/tex]
[tex]=15x^8[/tex]
5) Answer = [tex]30x^6[/tex]
[tex]5x^2\cdot \:6x^4[/tex]
[tex]=30x^2x^4[/tex]
[tex]=30x^{2+4}[/tex]
[tex]=30x^6[/tex]
6) Answer = [tex]-12a^5b^6[/tex]
[tex]\left(-4a^3b\right)\left(3a^2b^5\right)[/tex]
[tex]=-4a^3b\cdot \:3a^2b^5[/tex]
[tex]=-12a^3ba^2b^5[/tex]
[tex]=-12a^5bb^5[/tex]
[tex]=-12a^5b^6[/tex]
by using indices rule
which is
[tex]☞\:{a}^{m}\:×\:{a}^{n}\:=\:{a}^{m\:+\:n}[/tex]
[tex]\large{\color{orange}{➠ \:({3x}^{6})({5x}^{2})}}[/tex]
[tex]⟶\:{15x}^{8}[/tex]
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[tex]\large{➠ \:{5x}^{2}\:×\:{6x}^{4}}[/tex]
[tex]⟶\:{30x}^{6}[/tex]
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[tex]\large{\color{lightgreen}{➠ \:({\:-4a}^{3}b)({3a}^{2}{b}^{5})}}[/tex]
[tex]⇒\:{\:-12a}^{5}{b}^{6}[/tex]