4.1 Properties of Exponents PG. 107

Must Have the Same Base to Apply Most Properties

Properties of Exponents “Product of Powers” “Power of a Power” “Power of a Product”

Properties of Exponents “Negative Exponent” “Zero Exponent”

Properties of Exponents “Quotient of Powers” “Power of a Quotient”

Investigating Math Activity (p. 101)

GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression. Tell which properties of exponents you used. 1. (42 )3 ANSWER 4096 ; Power of a power property 2. (–8)(–8)3 4096 ; Product of a powers property ANSWER 3. 2 3 9 8 ANSWER ; Power of a quotient property 729

WARM-UP Standardized Test Practice SOLUTION

GUIDED PRACTICE for Examples 3, 4, and 5 Simplify the expression. Tell which properties of exponents you used. 5. x–6x5 x3 ANSWER x2 ; Product of powers property 6. (7y2z5)(y–4z–1) 7z4 y2 ; Product of powers property, Negative exponent property ANSWER

GUIDED PRACTICE for Examples 3, 4, and 5 7. s 3 2 t–4 s6t8 ANSWER ; Power of a power property, Negative exponent property 8. x4y–2 3 x3y6 x3 y24 ; Quotient of powers property, Power of a Quotient property, Negative exponent property ANSWER

SCIENTIFIC NOTATION Is in the form c x 10n C is a number between 1 and 9.99………. n is an integer Positive = bigger number (move right) Negative = smaller number (move left)

SCIENTIFIC NOTATION Examples…

Multiplying Scientific Notation Examples… Ex 4) (3.2 x 103) (1.4 x 102) Ex 5) (2.7 x 104) 2 Ex 6) (2.2 x 10-5) (7.4 x 103)

GUIDED PRACTICE for Examples 1 and 2 6 10 – 4 9 107 4. 2 3 1011 ANSWER ; quotient of power property

Homework Pg. 110, 1 – 32 all