Examples: Application Check It Out! 6-1 Integer Exponents
Algebra 1
Warm Up:
Evaluate each expression for the given values of the variables.
1.
𝑥 3 𝑦 2 for 𝑥 = −1 and 𝑦 = 10
2.
3𝑥 2
𝑦2
for 𝑥 = 4 and y= (−7)
Write each number as a power of the given base.
3. 64; base 4
4.
27; base  3
Objectives: Evaluate expression containing zero and integer exponents. Simplify expressions containing zero and integer
exponents.
What does it mean for an exponent to be a negative or 0? You can use a table and look for a pattern to find out.
WORDS
NUMBERS
Zero exponent – Any nonzero number
30 =
raised to the ______ exponent is _____.
1230 =
ALGEBRA
If 𝑥 ≠ 0, then 𝑥 0 =
(−16)0 =
3 0
( ) =
7
Negative exponent - nonzero number
raised to a negative exponent is equal to
_______ divided by that _____________
raised to the opposite (_____________)
3−2 =
If 𝑥 ≠ 0 and n is an integer, then
𝑥 −𝑛 =
2−4 =
exponent.
Examples: Application
1. One cup is 2−4 gallons. Simplify this expression.
Check It Out!
1. A sand fly may have a wingspan up to 5−3 m.
Simplify this expression.
Example 2: Zero and Negative Exponents
Simplify.
A)
43
B)
70
C)
(5)4
D)
54
d)
25
**Remember: In order to have a negative base, it must be in ______________________________.
Check It Out! Example 2: Simplify.
a)
10 4
b)
(2)4
c)
(2)5
Example 3: Evaluate the expression for the given value of the variables.
A)
x 2 for x  4
B)
2a 0b4 for a  5 and b  3
Check It Out! Example 3: Evaluate the expression for the given value of the variable.
a)
p3 for p  4
b)
8a 2b0 for a  2 and b  6
Example 4: Simplify.
A)
7w4
B)
5
k 2
C)
a 0 b 2
c 3 d 6
b)
r 3
7
c)
g4
h 6
Check It Out! Example 4: Simplify.
a)
2r 0m 3