Exponents

2. Law of Exponent

3. •An exponent refers to the number of times a
number is multiplied by itself.
Exponent
For example, 2 to the 3rd
(written like this: 23)
means: 2 x 2 x 2 = 8. 23 is not the same as 2 x
3 = 6

4. Exponent
23
where :
2 is the base
3 is the power or exponent

5. 1. 𝑎𝑚
· 𝑎𝑛
= 𝑎𝑚+𝑛
(Product of powers)
Law of Exponent
Examples:
1. 𝑥2 · 𝑥3 = 𝑥2+3 = 𝑥5
2. (
4
3
)4 · (
4
3
)5 = (
4
3
)4+5 = (
4
3
)9
3. ( 2)3
· ( 2)6
= ( 2)3+6
= ( 2)9

6. 2.
𝑎𝑚
𝑎𝑛 = 𝑎𝑚−𝑛
(Quotient powers)
Law of Exponent
Examples:
1. 𝑥2 · 𝑥3 = 𝑥2+3 = 6
2. (
4
3
)4 · (
4
3
)5 = (
4
3
)4+5 = (
4
3
)9
3. ( 2)3· ( 2)6= ( 2)3+6 = ( 2)9

7. Simplify the following:
1. (-11) + 5 = ___
2. 21 + (-9) = ___
3. -7 + 10 = ___
4. -50 + 10 = ___
Exercise:

8. • Subtraction of integers can be written as the addition of
the opposite number. To subtract two integers, rewrite the
subtraction expression as the first number plus the
opposite of the second number.
Example: 8 – 15 =___
Rules for Subtracting Integers
First number - second number = First number + opposite of the second number
8 - 15 = 8 + (-15) = -7
8 - (-15) = 8 + (15) = 23
Example: 8 – (-15) = ___

9. Simplify the following:
1. -12 - 5 = ___
2. 21 - (-9) = ___
3. -7 - (-10) = ___
4. 50 - 10 = ___
Exercise:

10. Game Time!

12. Quiz Number Richard’s
Score
Shirley’s Score
1 11 13
2 13 14
3 11 15
4 12 15
5 15 11
• What is the mean score of Richard?

13. THANK YOU !!!