1.4 Powers & Exponents
What is a power, exponent, & base?
  A power is a product made of repeated
factors. The exponent tells how many times
the base is used as a factor. Below is an
example,
ba
Powers, Exponents, & Bases
  What is the power, exponent, base in the example below?
43
  What would be the description in words?
4 to the third power or 4 cubed
  Evaluate the power.
43 = 4 · 4 · 4 = 64
1.4
Power Repeated Multiplication Description in Words
4
42
93
y5
y
4
9
9
y
y
4 to the second power,
or 4 squared
9
9 to the third power, or
9 cubed
y
y
y to the fifth power
Write the product as a power and describe the
power in words.
€
5×5×5
53
five to the third power
five cubed
10 ⋅10 ⋅10 ⋅10 ⋅10 ⋅10
106
ten to the sixth power
k⋅k
k2
K to the second power
K squared
Evaluate the power.
Nine cubed
52
210
729
25
1024
1.4
Investigation
105 = 100,000
25 = 32
35 = 243
104 = 10,000
24 = 16
34 = 81
103 =
23 =
33 =
102 =
22 =
32 =
101 =
21 =
31 =
100 =
20 =
30 =
0 Power
Power of 1
Evaluate the expression when x = 8, y = 4, and z = 5.
x3
512
y3
64
z0
1
Compare the values.
Complete the statement using <, >, or =.2
42 ? 2 4
=
>
31 ? 4 0
2
⎛ 1 ⎞
⎛ 1 ⎞
⎜ ⎟ ? ⎜ ⎟
⎝ 2 ⎠
⎝ 4 ⎠
4
⎛ 1 ⎞
⎛ 1 ⎞
⎜ ⎟ ? ⎜ ⎟
⎝ 5 ⎠
⎝ 4 ⎠
3
>
4
<