Welcome to GreeneMath.com, your source for free math help!
Rules of Exponents Test
About Rules of Exponents:

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

Watch the Step by Step Video Solution  
|
   View the Written Solution



#2:


Instructions: Simplify each.


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

Watch the Step by Step Video Solution  
|
   View the Written Solution



#3:


Instructions: Simplify each.


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

Watch the Step by Step Video Solution  
|
   View the Written Solution



#4:


Instructions: Simplify each.


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

Watch the Step by Step Video Solution  
|
   View the Written Solution



#5:


Instructions: Simplify each.


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

Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


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

Watch the Step by Step Video Solution



#2:


Solution:


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

Watch the Step by Step Video Solution



#3:


Solution:


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

Watch the Step by Step Video Solution



#4:


Solution:


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

Watch the Step by Step Video Solution



#5:


Solution:


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

Watch the Step by Step Video Solution