Properties of Exponents Advanced Math Topics Mrs. Mongold

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

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

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

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

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

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

Zero Power Any number raised to the 0 power is 1

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

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.

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

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

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

-3z4 ∙ 10z7 (4x)-1 30 – 3t0

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

Homework Page 289/ 2-56 Even