1. Bell Ringer Solve. 1. 7x – 1 = 2x + 19
5x = 20
x = 4
2. 5(x + 1)= 2x – 1 5x + 5 = 2x – 1 – 2x – 2x 3x + 5 = x = x = -2

2. Laws of Exponents Review!
Zero Exponent Property Negative Exponent Property Product of Powers Quotient of Powers Power of a Power Power of a Product Power of a Quotient

3. Laws of Exponents x0 = 1 30 = 1 120 = 1 x-4 = 5-1 = 5x-3y5 = 1 5y5 1
Zero Exponent Property – Any number raised to the zero power is 1.
x0 = = = 1
Negative Exponent Property – Any number raised to a negative exponent is the reciprocal of the number.
x-4 = = x-3y5 = 1 x4 1 5
5y5 x3

4. Laws of Exponents x2•x8 = x10 3x4•x-2 = 3x2 x6 x2 10x4y3 2x7y 5y2 x3
Product of Powers – When multiplying numbers with the same bases, ADD the exponents. Quotient of Powers – When dividing numbers with the same bases, SUBTRACT the exponents.
x2•x8
= x10
3x4•x-2
= 3x2 x6 x2
10x4y3
2x7y
5y2 x3
= x4 =

5. Laws of Exponents (95)3 = 915 (x4y5)2 = x8y10 (xy)3 = x3y3 (2bc)2
Power of a Power - When you have an exponent raised to an exponent, multiply the exponents!
(95)3
= 915
(x4y5)2
= x8y10
Power of a Product - Distribute the exponent on the outside of the parentheses to all of the terms inside of the parentheses.
(xy)3
= x3y3
(2bc)2
= 4b2c2

6. ( ) ( ) ( ) ( ) 2 x 23 x3 8 x3 = = 3 x2y 34 x8y4 81 x8y4 = =
Laws of Exponents
Power of a Quotient – Distribute the exponent on the outside of the parentheses to the numerator and the denominator of the fraction. ( ) ( ) 2 x 3 23 x3 8 x3 = = ( ) ( 3
x2y ) 4 34
x8y4 81
x8y4 = =