Question

Directions:Use the product rule to simplify the following monomials.

Answer 1

$\huge\mathtt\orange{\underline{\overline{\color{blue}{\mid{\color{green}{Answer}}{\mid}}}}}$

by using indices rule

which is

$☞\:{a}^{m}\:×\:{a}^{n}\:=\:{a}^{m\:+\:n}$

.

$⟶\:{x}^{2}\:•\:{x}^{3}$

$⟶\:{x}^{5}$

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$⟶\:{a}^{9}\:•\:a$

$⟶\:{a}^{10}$

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$⟶\:{(4x)}^{2}\:•\:{(3x)}^{5}$

$⟶\:{12x}^{7}$

Answer 2

1) $x^2x^3$

$=x^{2+3}$

$=x^5$

2) $a^9a$

$=a^{9+1}$

$=a^{10}$

3) $\left(4x^2\right)\left(3x^5\right)$

$=4\cdot \:3x^{2+5}$

$=4\cdot \:3x^7$

$=12x^7$