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Grade 8 Algebra: Power Rules

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Power of a power and of a product

1. Simplify:
$(x^2)^3$
2. Simplify:
$(2^3)^2$
3. Simplify:
$(a^4)^5$
4. Simplify:
$(xy)^3$
5. Simplify:
$(3m)^2$
6. Simplify:
$\left(\dfrac{x}{y}\right)^4$

$\text{Power}$ $\text{Rules:}$ $\text{Free}$ $\text{8th}$ $\text{Grade}$ $\text{Math}$ $\text{PDF}$

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

$\text{Power}$ $\text{Rules.}$ $\text{Level}$ $\text{1:}$ $\text{Power}$ $\text{of}$ $\text{a}$ $\text{power}$ $\text{and}$ $\text{of}$ $\text{a}$ $\text{product.}$