Multiplication of Exponents Notes. What is an Exponent? An exponent means that you multiply the base...
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Transcript of Multiplication of Exponents Notes. What is an Exponent? An exponent means that you multiply the base...
What is an Exponent? An exponent means that you multiply the base by
itself that many times.
For example
xx4 4 = = x x ● ● xx ●● xx ●● xx
226 6 = = 2 2 ● ● 22 ● ● 22 ● ● 22 ● ● 22 ● ● 22 = 64= 64
Power – a number produced by raising a base to an exponent. (the term 27 is called a power.)
Exponential form – a number written with a base and an exponent. (23)
Exponent – the number that indicates how many times the base is used as a factor. (27)
Base – when a number is being raised to a power, the number being used as a factor. (27)
Vocabulary
The Invisible ExponentWhen an expression does not have a visible exponent its
exponent is understood to be 1.
Zero ExponentWhen anything, except 0, is raised to the zero power
it is 1.
For example
( if a ≠ 0)
( if x ≠ 0)
Multiplication RuleWhen multiplying two expressions with the same base you add their exponents.
For example
Example 5
Multiply coefficients and add exponents of like bases
(-2x3y5)(3xy3)(x2y)
-6x6y9
-6x(3+1+2)y(5+3+1)
Example 6
In order to simplify you must distribute first.
Since you are multiplying when you distribute you must use the multiplication rule for exponents.