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

2. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. A number produced by raising a base to an exponent is called a power. Both 27 and 33 represent the same power.
Exponent
Base 7 2

3. Write in exponential form.
Identify how many times 4 is a factor.
4 • 4 • 4 • 4 = 44
B. (–6) • (–6) • (–6)
Identify how many times –6 is a factor.
(–6) • (–6) • (–6) = (–6)3
Read (–63) as “-6 to the 3rd power or -6 cubed”.
Reading Math
(–6)2 is not the same thing as -62! (–6)2 = = -36
Very Important Math

4. Write in exponential form.
C. 5 • 5 • d • d • d • d
Identify how many times 5 and d are used as a factor.
5 • 5 = 52d4

5. LOL Moment

6. Negative Exponents Remember!
The reciprocal of a number is 1 divided by that number.
Remember!

7. Evaluate.
5–3 5 1 3 =
Write the reciprocal; change the sign of the exponent. 1
5 • 5 • 5 =
Find the product of three ’s.
1 5
125 1 =
Simplify.

8. Evaluate.
(–10)–3 1
= –10 3
Write the reciprocal; change the sign of the exponent. 1
–10 • –10 • –10 =
Find the product of three ’s.
1 –10
–1000 1 =
= –0.001
Simplify.

9. The Zero Power
Any number (except 0) raised to the zero power is equal to 1.
1490 = 1

10. Evaluate 5 – (6 – 4)–3 + (– 2)0.
5 – (6 – 4)–3 + (–2)0
= 5 – (2)–3 + (–2)0
Subtract inside the parentheses.
= 5 –
1 8
Evaluate the exponents.
= 5
7 8
Add and subtract from left to right.

11. Any number raised to the first power is always equal to itself. 81 = 8
Did you know?
Any number raised to the first power is always equal to itself. 81 = 8
If a number is raised to the second power, we say it is squared. 32 is read as three squared.
If a number is raised to the third power, we say it is cubed. 43 is read as four cubed.
I Love Exponents!

12. It’s Hip to be Square!

13. 4. Evaluate x • z – yx for x = 5, y = 3, and z = 6.
Lesson Quiz: Part I
Write in exponential form.
1. n • n • n • n 4 n
2. (–8) • (–8) • (–8) • (h)
(–8)3h
3. Evaluate (–4)4
256
4. Evaluate x • z – yx for x = 5, y = 3, and z = 6.
–213
5. Evaluate (2/3)-3
27/8

14. Lesson Quiz: Part II
5. A population of bacteria doubles in size every minute. The number of bacteria after 5 minutes is 15  25. How many are there after 5 minutes?
480