3.1.1 & 3.1.2 –> EXPONENT REVIEW
WALT: use the properties of exponents to simplify expressions.
Product Property of Exponents: am • an = a m + n
•
add
If you are multiplying powers with the same base, the base number stays the same and you ________ the exponents.
Power of a Power Property of Exponents: (am)n = am • n
•
Quotient Property of Exponents:
•
multi
If you have a power raised to another power, then you _____________ the powers.
!!
!"
= a"#$
divide
If you are dividing powers with the same base, the base number stays the same and you ___________ the
exponents.
Zero Property of Exponents: a0 = 1
•
Anything raised to a power of zero is On
_________.
f
Negative Property of Exponents: a-1 =
•
%
&
Reciprocal
A negative exponent means the _____________________ (flipped fraction).
EXAMPLES: Simplify each expression, no negative exponents.
1. y4 • y2 • y
2. (y0)3
yyyy.gg y
Y
3. (y5)3
4.
eggs
5. x #( ⋅ x (
x
'#
'$
At
6. – 3n3 • 2n4
Gn
7.
45 x 9 y 5
5x7
days
8.
)*% +&
,*' -
k
2
9. (&. )#/
10. ((&0 ).
Sx
is
1&
2
11. ) '*
+
8
49
12. +&#3 ∙ -&2
4 Ex
910