1. Properties of Exponents
Advanced Math Topics
Mrs. Mongold

2. Negative Exponents
For any real number a = 0 and any integer n, a-n =

3. Product of Powers
For any real number a and integers m and n, am · an = am+n

4. Quotient of Powers
For any real number a = 0, and any integers m and n, = am - n

5. Power to a Power
Mulitply exponents when you have a power to a power , (am)n = amn

6. Power of a Product
Distribute the exponent when you have a power of a product (ab)m = ambm

7. Power of a Quotient
Take the numerator and denominator to the power outside,

8. Zero Power
Any number raised to the 0 power is 1

9. Scientific Notation
10 to the positive you move the decimal to the right in the number at the front
2.5 x = 2,500
10 to the negative you move the decimal to the left in the number at the front
2.5 x = .0025

10. Scientific Notation Cont…
First number must be between 1 and 10
If you move the decimal to the right you have a negative exponent
If you move the decimal to the left you have a positive exponent.

11. Examples
42 ∙ 43
-3y ∙ -9y4
(-4x3p2)(4y3x3)
-80

12. (5x)0 + 5x0
x9y6
x8y6
-36a5b7c10
6ab3c4

13. 8r4
2r-4
y-7y y8
4x0 + 5

14. -3z4 ∙ 10z7
(4x)-1
30 – 3t0

15. x-7y-2
x2y2
(24x8)(x)
20x-7

16. Homework
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