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Rules of Exponents Test

In order to successfully perform operations with polynomials, one must have a complete understanding of the rules of exponents. We will review: the product rule for exponents, the quotient rule for exponents, the power rules for exponents, negative exponents, and the power of zero.

Test Objectives:

•Demonstrate an understanding of the product/quotient rule for exponents

•Demonstrate an understanding of the power rules for exponents

•Demonstrate an understanding of negative exponents and the power of zero

Review of the Rules of Exponents Test:

#1:

Instructions: Simplify each.

a) $$\frac{2hj^0k^{-7} \cdot -h^0j^{-1}k^4}{(2k^2)^8}$$

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#2:

Instructions: Simplify each.

a) $$\frac{-x^0y^3z^7\cdot(-y^2z^8)^5}{-2x^5y^3z^0}$$

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#3:

Instructions: Simplify each.

a) $$-\frac{2ba^{-6}c^8}{(2a^8b^0c^{-7}\cdot 2a^3c^{-5})^5}$$

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#4:

Instructions: Simplify each.

a) $$\frac{(-q^8r^6)^4}{(-p^2q^2r^5q\cdot p^3r^0)^0}$$

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#5:

Instructions: Simplify each.

a) $$\frac{(2bca^{-1})^3}{-2b^2c^2\cdot-a^7b^{-3}}$$

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Written Solutions:

#1:

Solution:

a) $$\frac{-h}{2^7k^{19}j}$$

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#2:

Solution:

a) $$\frac{-y^{10}z^{47}}{2x^5}$$

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#3:

Solution:

a) $$-\frac{bc^{68}}{2^9a^{61}}$$

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#4:

Solution:

a) $$q^{32}r^{24}$$

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#5:

Solution:

a) $$\frac{4b^4c}{a^{10}}$$

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