	Algebra Tutorials!



	Home
	Solving Quadratic Equations by Completing the Square
	Graphing Logarithmic Functions
	Division Property of Exponents
	Adding and Subtracting Rational Expressions With Like Denominators
	Rationalizing the Denominator
	Multiplying Special Polynomials
	Functions
	Solving Linear Systems of Equations by Elimination
	Solving Systems of Equation by Substitution and Elimination
	Polynomial Equations
	Solving Linear Systems of Equations by Graphing
	Quadratic Functions
	Solving Proportions
	Parallel and Perpendicular Lines
	Simplifying Square Roots
	Simplifying Fractions
	Adding and Subtracting Fractions
	Adding and Subtracting Fractions
	Solving Linear Equations
	Inequalities in one Variable
	Recognizing Polynomial Equations from their Graphs
	Scientific Notation
	Factoring a Sum or Difference of Two Cubes
	Solving Nonlinear Equations by Substitution
	Solving Systems of Linear Inequalities
	Arithmetics with Decimals
	Finding the Equation of an Inverse Function
	Plotting Points in the Coordinate Plane
	The Product of the Roots of a Quadratic
	Powers
	Solving Quadratic Equations by Completing the Square

Try the Free Math Solver or Scroll down to Tutorials!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

Division Property of Exponents

Property â€” Division Property of Exponents

English To divide two exponential expressions with the same base:

Compare the exponents.

â€¢ If the greater exponent is in the numerator, write the base in the numerator.

â€¢ If the greater base is in the denominator, write the base in the denominator.

Then subtract the smaller exponent from the greater. Use the result as the new exponent.

Algebra	Example
(Here, m and n are positive integers.)

Example 1

a. Use the Division Property of Exponents to find

b. Use the definition of exponential notation to justify your answer.

Note:

Since 3 < 4, we use the form

Solution

a. The bases are the same, so subtract the exponents.
b. Rewrite the numerator and denominator to show the factors.
Cancel the common factors.

Example 2

Find: 7⁹ Ã· 76. Leave your answer in exponential notation.

Solution

The operation is division and the bases are the same. Therefore, subtract the exponents and use 7 as the base.

Note:

Since 9 > 6, we use the form

Example 3

Find: w⁸ Ã· w¹³

Solution

The operation is division and the bases are the same. Therefore, subtract the exponents and use w as the base.

Note:

Since 8 < 13, we use the form

Copyrights © 2005-2024