1. NOTES
Algebra 1
Mr. Saucedo

2. REVIEW
 Recall: A number in exponential form
has a base and an exponent. The
exponent indicates how many times the
base is used as a factor.

In its exponential form: ab
,
a is the BASE and
b is the EXPONENT.

3. NOTES
The laws of exponents show how to
__SIMPLIFY___
expressions in exponential form.

4. NOTES
In the next few slides, a and b are real
numbers and m and n are integers.

5. PRODUCT OF POWERS
 To multiply powers with the same base,
add the exponents.
am
∙an
= am+n

6. POWER OF A POWER
 To raise a number in exponential form to
a power, multiply the exponents.
(am
)n
= am∙n

7. POWER OF A PRODUCT
 To find a power of a product, find the
power of each factor and multiply.
(ab)m
= am
bm

8. POWER OF ZERO
 Any nonzero number raised to the
power of zero is one.
a0
= 1

9. QUOTIENT OF POWERS
 To find the quotient of powers with the
same base, subtract the exponents.
am
= am-n
an

10. POWER OF A QUOTIENT
To raise a quotient to a power, raise both
the numerator and denominator to that
power.
(a/b)m
= am
/bm

11. RECIPROCALS
 To change a sign of an exponent, move
the expression to the denominator of a
fraction, or to the numerator.
a-n
= 1/an
1/a-n
= an

12. GUIDED PRACTICE
 Simplify:
1. (x3
y2
z0
)3
2. (x4
y5
/xy2
)2

13. GUIDED PRACTICE
3. What is the value of the expression 6-3
?
4. What is the result when a4
b-3
is divided
by a-2
b2

14. CHECKPOINT
Simplify:
1. (4m3
n3
)2
2. x3
y-2
/y4
3. (5a)2
b5
/(3a4
b2
) 4. (3b2
x-2
y6
)0

15. INDEPENDENT PRACTICE
 Workbook, page 16.
Problems 1 - 9.