Question

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:(​

Answer 1

4) Answer =
`5x^8`

`\left(3x^6\right)\left(5x^2\right)`

`=3\cdot \:5x^(6+2)`

`=3\cdot \:5x^8`

`=15x^8`

5) Answer =
`30x^6`

`5x^2\cdot \:6x^4`

`=30x^2x^4`

`=30x^(2+4)`

`=30x^6`

6) Answer =
`-12a^5b^6`

`\left(-4a^3b\right)\left(3a^2b^5\right)`

`=-4a^3b\cdot \:3a^2b^5`

`=-12a^3ba^2b^5`

`=-12a^5bb^5`

`=-12a^5b^6`

Answer 2

by using indices rule

which is

`☞\:{a}^(m)\:×\:{a}^(n)\:=\:{a}^(m\:+\:n)`

`\large{\color{orange}{➠ \:({3x}^(6))({5x}^(2))}}`

`⟶\:{15x}^(8)`

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`\large{➠ \:{5x}^(2)\:×\:{6x}^(4)}`

`⟶\:{30x}^(6)`

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`\large{\color{lightgreen}{➠ \:({\:-4a}^(3)b)({3a}^(2){b}^(5))}}`

`⇒\:{\:-12a}^(5){b}^(6)`