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6-1
6-1 Integer
IntegerExponents
Exponents
Warm Up
Lesson Presentation
Lesson Quiz
Holt
Holt
McDougal
Algebra 1Algebra
Algebra11
Holt
McDougal
6-1 Integer Exponents
You have seen positive exponents. Recall that
to simplify 32, use 3 as a factor 2 times: 32 =
3  3 = 9.
But what does it mean for an exponent to be
negative or 0? You can use a table and look for a
pattern to figure it out.
Power 55 54 53 52
Value 3125 625 125 25
5
Holt McDougal Algebra 1
5
5
5
51
5
50
5–1
5–2
6-1 Integer Exponents
When the exponent decreases by one, the value
of the power is divided by 5. Continue the
pattern of dividing by 5.
Holt McDougal Algebra 1
6-1 Integer Exponents
Holt McDougal Algebra 1
6-1 Integer Exponents
Example 2: Zero and Negative Exponents
Simplify.
A. 4–3
B. 70
7º = 1
C. (–5)–4
D. –5–4
Holt McDougal Algebra 1
Any nonzero number raised to the zero
power is 1.
6-1 Integer Exponents
Example 3A: Evaluating Expressions with Zero and
Negative Exponents
Evaluate the expression for the given value of the
variables.
x–2 for x = 4
Substitute 4 for x.
Use the definition
Holt McDougal Algebra 1
6-1 Integer Exponents
Example 3B: Evaluating Expressions with Zero and
Negative Exponents
Simplify the expression for the given values of
the variables.
–2a0b-4 for a = 5 and b = –3
Substitute 5 for a and –3 for b.
Evaluate expressions with
exponents.
Write the power in the
denominator as a product.
Simplify the denominator.
Simplify.
Holt McDougal Algebra 1
6-1 Integer Exponents
Check It Out! Example 3b
Evaluate the expression for the given values
of the variables.
for a = –2 and b = 6
Substitute –2 for a and 6 for b.
Simplify expressions with
exponents.
Write the power in the
denominator as a product.
Simplify the denominator.
2
Holt McDougal Algebra 1
Simplify.
6-1 Integer Exponents
Example 4: Simplifying Expressions with Zero and
Negative Numbers
Simplify.
A. 7w–4
Holt McDougal Algebra 1
B.
6-1 Integer Exponents
Example 4: Simplifying Expressions with Zero and
Negative Numbers
Simplify.
C.
and
Holt McDougal Algebra 1
6-1 Integer Exponents
Check It Out! Example 4
Simplify.
a. 2r0m–3
rº = 1 and
b.
Holt McDougal Algebra 1
c.
.