logo for solving-math-problems.com
leftimage for solving-math-problems.com

Exponent Rules











































dividing numbers or expressions which have exponents

Comments for Exponent Rules

Click here to add your own comments

Oct 26, 2011
Exponent Rules - Division
by: Staff


Question:

dividing numbers or expressions which have exponents


Answer:

The general rule for dividing numbers or exponents with have exponents is:

(x^a) / (x^b) = x^(a - b)


Here is an example of dividing numbers with exponents:

3⁵ / 3² = 243 / 9 = 27

= 3⁽⁵⁻²⁾

= 3⁽³⁾

= 3³

3⁵ / 3² = 3³ = 27


Here is an example of dividing variables with exponents:

x⁵ / x²

= x⁽⁵⁻²⁾

= x⁽³⁾

= x³


Here is an example of dividing both numbers and variables with exponents:

3⁵x⁵ / 3²x²

= 3⁽⁵⁻²⁾x⁽⁵⁻²⁾

= 3⁽³⁾x⁽³⁾

= 3³x³

= 27x³



Here is an example of dividing both numbers and variables with exponents when the exponents in the numerator are smaller than the exponents in the denominator:

3²x² / 3⁵x⁵

= 3⁽²⁻⁵⁾x⁽²⁻⁵⁾

= 3⁽⁻³⁾x⁽⁻³⁾

= 1 / (3³x³)

= 1 / (27x³)




Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com