Properties of Exponents

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 10 3 = 2,500 • 10 to the negative you move the decimal to the left in the number at the front • 2.5 x 10 -3 = .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 • Page 289/ 2-56 Even