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Grade 8 Algebra: Zero and Negative Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Simplify fully

1. Simplify:
$x^5 \cdot x^{-8}$
2. Simplify:
$\dfrac{a^{-2}}{a^4}$
3. Simplify:
$(2x^{-3})^2$
4. Simplify:
$\dfrac{12y^{-2}}{4y^{-5}}$
5. Simplify:
$(m^{-2}n^3)^{-2}$
6. Simplify:
$(3x^2y^{-1})^0 \cdot x^{-2}$

$\text{Zero}$ $\text{and}$ $\text{Negative}$ $\text{Exponents:}$ $\text{Free}$ $\text{8th}$ $\text{Grade}$ $\text{Math}$ $\text{PDF}$

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

$\text{Zero}$ $\text{and}$ $\text{Negative}$ $\text{Exponents.}$ $\text{Level}$ $\text{3:}$ $\text{Simplify}$ $\text{fully.}$