Exponent Rules (Product and Quotient)

To multiply exponents with the same base, 

ADD the powers 

x*x

x2 • x3 =

x*x*x =     x*x*x*x*x
x2+3 = x5

To multiply exponents, ADD powers

x • x3 =

x
x*x*x =    x*x*x*x
x1+3 = x

To multiply exponents, ADD powers

x5 • x3 =

x

x•x5•x3 =

To multiply exponents, ADD powers

x1+5+3 = x

To multiply exponents, ADD powers

x2•x5•x-3 =

x

To multiply exponents, ADD powers

x-5 • x-6

x

x5 • x-3 =

To multiply exponents, ADD powers

x5+-3 = x
To divide exponents, SUBTRACT powers

 

x3
x2
   numerator
- denominator
=
x      =
3 - 2
x
To divide exponents, SUBTRACT powers

 

   numerator - denominator
x2
x7
=
x
To divide exponents, SUBTRACT powers

 

   numerator - denominator
x5
x8
=
x
To divide exponents, SUBTRACT powers

 

x3
x3
   numerator
- denominator
=
x
Whole number
=
To divide exponents, SUBTRACT powers

 

   numerator - denominator
x2y4
x8y7
=x   y
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