Exponents - Multiplication and Division of Monomials

Topic 6.1 (Exponents)

(a^m)(aⁿ)   =     a^{m + n}

(a^m)ⁿ         =     a^mn

a^m /  aⁿ   =     a^{m - n}           m > n

a^m /  aⁿ    =     1 /  a^n-m      m < n

(xy)^m         =      x^my^m

(x/y)^m       =       x^m/n^m

      x^o        =        1

 

Sample problem:       (x⁶y⁸/x²y⁹)³    =   (x⁴/y)³   =    x¹²/y³      Ans.

Sample problem:   [b⁸/(b²b⁷)³]⁴ = [b⁸/b⁶b²¹]⁴ = [b⁸/b²⁷]⁴ = [1/b¹⁹]⁴ = 1 / b⁷⁶   Ans.

Sample problem:    (4x)⁰/2   +   3x⁰/2   +   -2x⁰/2   =   (1/2   +   3/2)   +   -2/2

                                                                             4/2   +   (-1)   =   2   +   (-1)   =   1     Ans.

Sample problem:  (4x²y / 4xy³)º  =  1 

Sample Problem:  (a² ∙ a³)²  +  (a³ ∙ a²)²    

Sample problem: