Algebra Period 4

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Exponential Notation A product in which the factors are the same is called a power

We can write 2∙2∙2∙2∙2∙2 as 2⁶. The number 6 is called the exponent and 2 is called the base.

When an expression is written with exponents it is written using exponential notation.


b¹ means b for any number b

If n is a whole number greater than 1 bⁿ means b∙b∙b∙b∙…∙b
n times


Remember Order of Operations O³

Parentheses
Exponents
Multiply and Divide in order from left to right
Add and Subtract in order from left to right

Calculate
(3a)³ for a= 2
(3a)³ = (3a)(3a)(3a) Now substitute in for a (3∙2)(3∙2)(3∙2) = (6)(6)(6)= 216

Notice the difference for
3a³ for a = 2
What is the exponent touching this time? only the a
3∙a∙a∙a Now substitute in for a 3∙2∙2∙2 = 24