Directions:Use the product rule to simplify the following monomials.
4.) (3x⁶)(5x²)
5.) 5x² • 6x⁴
6.) (-4a³b)(3a²b⁵)

-ANYONE PLEASE HELP ME BECAUSE I HAVE TO PASS THIS LATER AT 10PM AND IT'S ALREADY 9:26PM:(PLEASE HELP:(​

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]

__________________________________

[tex]\large{➠ \:{5x}^{2}\:×\:{6x}^{4}}[/tex]

[tex]⟶\:{30x}^{6}[/tex]

__________________________________

[tex]\large{\color{lightgreen}{➠ \:({\:-4a}^{3}b)({3a}^{2}{b}^{5})}}[/tex]

[tex]⇒\:{\:-12a}^{5}{b}^{6}[/tex]