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
