exponent

1. Exponents
Learn to evaluate
expressions with
exponents.

2. Review
Find the product.
625
1. 5 • 5 • 5 • 5
2. 3 • 3 • 3
3. (–7) • (–7) • (-7)
4. 9 • 9
27
–343
81

3. POWERS & EXPONENTS
VOCABULARY
–FACTORS - numbers that are
multiplied together.
–BASE - the number being
used as a factor.
–EXPONENT - tells how many
times a number is used as a
factor.

4. POWERS & EXPONENTS
VOCABULARY
–POWER - a number that
is expressed using
exponents.
–SQUARED - a number
that has an exponent of 2.
–CUBED - a number that
has an exponent of 3.

5. The term 27 is called a power.
If a number is in exponential
form, the exponent
represents how many times
the base is to be used as a
factor.
7
Exponent
Base
2

6. FACTOR FORM
2³ = 2 x 2 x 2
factors

7. STANDARD FORM
2³ = 2 x 2 x 2
8
4 x 2

8. Identify how many
times 4 is a factor.
4 • 4 • 4 • 4 = 44
Write in exponential form.
A. 4 • 4 • 4 • 4
Identify how many
times d is a factor.
d • d • d • d • d = d5
B. d • d • d • d • d
Read 44 as “4 to the 4th power.”
Reading Math

9. Identify how many
times –6 is a factor.
(–6) • (–6) • (–6) = (–6)3
Identify how many
times 5 is a factor.
5 • 5 = 52
C. (–6) • (–6) • (–6)
D. 5 • 5
Write in exponential form.
Remember to keep the – sign inside the ( )! If
it is outside, your answer will be negative even
if you have an even number of – signs.

10. Identify how many
times x is a factor.
x • x • x • x • x = x5
Write in exponential form.
A. x • x • x • x • x
Identify how many
times d is a factor.
d • d • d = d3
B. d • d • d

11. A. 35
= 243
35 = 3 • 3 • 3 • 3 • 3
Find the product of
five 3’s.
= –243
= (–3) • (–3) • (–3) • (–3) • (–3)
(–3)5
Find the product of five –3’s.
B. (–3)5
Always use parentheses to raise a negative
number to a power.
Helpful Hint
Evaluate.

12. C. 74
= 2401
74 = 7 • 7 • 7 • 7
Find the product of four 7’s.
= –729
= (–9) • (–9) • (–9)
(–9)3
Find the product of three –9’s.
D. (–9)3
Evaluate.

13. Follow Order of Operations
5 + 3² - 8
5 + 3 x 3 - 8
5 + 9 - 8
14 - 8
6

14. Simplifying Expressions
Containing Powers
= 47
Simplify (25 – 32 ) + 6(4)
= (32 – 9) + 6(4)
= (23) + 6(4)
= 23 + 24
Evaluate the exponents.
Subtract inside the parentheses.
Multiply from left to right.
Add from left to right.

15. = –49
Simplify (32 – 82) + 2 • 3
= (9 – 64) + 2 • 3
= (–55) + 2 • 3
= –55 + 6
Evaluate the exponents.
Subtract inside the parentheses.
Multiply from left to right.
Add from left to right.