Division Property of Exponents worksheets - Free Printable

Here are the simplified answers for each problem using the division property of exponents.

1) $\frac{20x^{-6}}{2x^{-3}y^2}$
* Coefficients: $20 / 2 = 10$
* $x$ terms: $x^{-6} / x^{-3} = x^{-6 - (-3)} = x^{-3}$
* $y$ terms: $1 / y^2 = y^{-2}$
* Result: $10x^{-3}y^{-2}$ or $\frac{10}{x^3y^2}$

2) $\frac{12x^{-6}}{4x^{-4}y^4}$
* Coefficients: $12 / 4 = 3$
* $x$ terms: $x^{-6} / x^{-4} = x^{-2}$
* $y$ terms: $1 / y^4 = y^{-4}$
* Result: $3x^{-2}y^{-4}$ or $\frac{3}{x^2y^4}$

3) $\frac{6x^2}{2x^3}$
* Coefficients: $6 / 2 = 3$
* $x$ terms: $x^{2-3} = x^{-1}$
* Result: $3x^{-1}$ or $\frac{3}{x}$

4) $\frac{24x^{-7}}{3x^{-3}}$
* Coefficients: $24 / 3 = 8$
* $x$ terms: $x^{-7 - (-3)} = x^{-4}$
* Result: $8x^{-4}$ or $\frac{8}{x^4}$

5) $\frac{33x^{-8}}{3x^{-4}}$
* Coefficients: $33 / 3 = 11$
* $x$ terms: $x^{-8 - (-4)} = x^{-4}$
* Result: $11x^{-4}$ or $\frac{11}{x^4}$

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