Multiplication and division of monomials

Example 1 multiply a² by a⁶.

a² X a⁶ = (a X a) X (a X a X a X a X a X a)

= a X a X a X a X a X a X a X a

= a⁸

 

Notice that the index in the result is the sum of the indices given,

e.g . a⁵ X a⁷ = a⁵⁺⁷ = a¹²

a⁸ X a = a⁹ remember that a = a¹

a^m X aⁿ = a^m+n .

Example 2

Multiply 2c³ d e² by -5c² d⁵e

(2c⁴ d e³)
X (-5c² d⁶e
) = (2ccccdeee) X (-5ccdddddde)

                                  = -2 X 5ccccccdddddddeeee


                                 = -10 c<sup>6 </sup>d<sup>7 </sup>e<sup>4

With these tutorial hope you can used multiplication and division of monomials anywhere you found it in your math’s.