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Grade 8 Algebra: Product and Quotient Rules

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Several factors

1. Simplify:
$x^3 \cdot x^4 \cdot x^2$
2. Simplify:
$(2a^3)(3a^2)(a)$
3. Simplify:
$\dfrac{4x^5 \cdot 3x^2}{6x^3}$
4. Simplify:
$\dfrac{3^5 \cdot 3^2}{3^4}$
5. Simplify:
$\dfrac{(-3x^2y)(2xy^3)}{6x^2y^2}$
6. Simplify:
$\dfrac{10m^6n^4}{2m^2n}$

$\text{Product}$ $\text{and}$ $\text{Quotient}$ $\text{Rules:}$ $\text{Free}$ $\text{8th}$ $\text{Grade}$ $\text{Math}$ $\text{PDF}$

$\text{Exponents}$ $\text{provide}$ $\text{a}$ $\text{compact}$ $\text{way}$ $\text{to}$ $\text{write}$ $\text{repeated}$ $\text{multiplication.}$ $\text{The}$ $\text{exponent}$ $\text{rules}$ $\text{explain}$ $\text{how}$ $\text{to}$ $\text{multiply,}$ $\text{divide}$ $\text{and}$ $\text{raise}$ $\text{powers,}$ $\text{and}$ $\text{extend}$ $\text{these}$ $\text{patterns}$ $\text{to}$ $\text{zero}$ $\text{and}$ $\text{negative}$ $\text{exponents.}$

$\text{Product}$ $\text{and}$ $\text{Quotient}$ $\text{Rules.}$ $\text{Level}$ $\text{3:}$ $\text{Several}$ $\text{factors.}$