The document explains exponents and how to write expressions using exponents. It provides examples of expressions written with multiplication and shows how to rewrite them using exponents. Some key examples include rewriting 3 x 3 x 3 x 3 as 34 and showing that 2 x 2 x 2 x 2 x 2 x 2 x 2 can be written as 27. It also gives practice problems for rewriting expressions using exponents and substituting values.

1. Understanding Exponents
3
4

2. 3
4
3 x 3 x 3 x 3
81
Multiply 3x3x3x3 = 81
3 1 3
3
3
4
3
2

3. How would you write this problem
using exponents?
1. 2 • 2 • 2 • 2 • 2 • 2 • 2 =
2. (-3)(-3) (-3)(-3) =
3. a • a • a • a • a • a • a • a =
4. a • m • m • a • m • a • a =
5. p • 2 • r • r • r • p • 2 =

4. How would you write this problem
using exponents?
1. 2 • 2 • 2 • 2 • 2 • 2 • 2 =
2. (-3)(-3) (-3)(-3) =
3. a • a • a • a • a • a • a • a =
4. a • m • m • a • m • a • a =
5. p • 2 • r • r • r • p • 2 =
27
(-3)4
a8
a4
m3
22
p2
r3

5. 1. 4( 3 + 2)2
=
2. 2 • 52
+ 4 • (-3)=
3. 2x3
+ 4y (for x = -2 ; y = 3)
4. 3(a)2
+ 6 (for a = 5)
5. -a4
(for a = 2)
6. (-a)4
(for a = 2)

6. 1. 4( 3 + 2)2
=
2. 2 • 52
+ 4 • (-3)=
3. 2x3
+ 4y (x = -2 ; y = 3)
4. 3(a)2
+ 6 ( a = 5)
5. -a4
(a = 2)
6. (-a)4
(a = 2)
4(5)2
4(5•5) 4(25) =100
-62
192
81
-16
16

7. 1. 4( 3 + 2)2
=
2. 2 • 52
+ 4 • (-3)=
3. 2x3
+ 4y (x = -2 ; y = 3)
4. 3(a)2
+ 6 ( a = 5)
5. -a4
(a = 2)
6. (-a)4
(a = 2)
4(5)2
4(5•5) 4(25) =100
-62
192
81
-16
16