 Exponents are a short method of showing repeated multiplication.
 Exponents can be shown as
x^{5}
x is called the base and the number 5 is called the exponent.
 Integers are positive numbers, zero and negative numbers {........3,2,1,0,1,2,3.......}
 Expressions with integers as exponents are called Integer exponents.
Example:
x^{2} positive exponent
x^{2} negative exponent
x^{0} exponent with power zero
 Any number or variable to the power of zero is 1, when x does not equal 0.
x can be anything (except zero), including numbers, variables, or an equation.
x^{0} = 1
5^{0} = 1
(x+5=2x)^{0} = 1
 Any number or variable to the power of 1 gives the number.
x^{1} = x
5^{1} = 5
 Any number or variable to the negative power equals 1 divided by the exponent with the postive power.
x^{n} = 1/x^{n} when x does not equal 0.
x^{1} = 1/x^{1}
x^{3} = 1/x^{3}
2^{3} = 1/2^{3} = 1/8
5^{3} = 1/5^{3} = 1/125
Positive exponents  Negative exponents  Exponets with power zero 
x^{n} = x . x . x ......n times  x^{n} = 1/x .x .x .......n times =1/x^{n}  x^{0} = 1 
2^{3} = 2 x 2 x 2 = 8  2^{3} = 1/2^{3} = 1/8  5^{0} = 1 
3^{2} = 3 x 3 = 9  3^{2} = 1/3^{2} = 1/9  300^{0} = 1 
Directions: Answer the following questions. Also write at least ten examples of each type of exponents.
