Free Algebra Tutorials!

Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Powers

If a is any number and n any positive integer (whole number ) then the product of a with itself n times, , is called a raised to the power n, and written a n ; i.e., The following important rules apply to powers. We want these rules to be true for all positive values of a and all values of m and n:

We shall first look at the simpler cases.

Examples

(a) 10 2 Ã— 10 3 = (10 Ã— 10) Ã— (10 Ã— 10 Ã— 10) = 10 5 = 10 2+3:

(b) 2 5 Ã· 2 3 = 32 Ã· 8 = 4 = 2 2 = 2 5-3

(c) ( 3 2 ) 3 = (3 Ã— 3) 3 = (3 Ã— 3) Ã— (3 Ã— 3) Ã— (3 Ã— 3) = 3 6 = 3 2 Ã— 3

(d) From rule 2, a n + 1 Ã· a n = a ( n + 1) - n = a 1. Also, (e) We have a n Ã— a 0 = a n +0 = a n = a n Ã— 1 : Thus a 0 = 1.

 All Right Reserved. Copyright 2005-2019