4 1 Properties of Exponents PG 107 Must

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 2. 4096 ; Power of a power property (– 8)3 ANSWER 2 3 3. 9 4096 ; Product of a powers property ANSWER 8 ; Power of a quotient 729 property

WARM-UP SOLUTION Standardized Test Practice

GUIDED PRACTICE for Examples 3, 4, and 5 Simplify the expression. Tell which properties of exponents you used. 5. x– 6 x 5 x 3 ANSWER x 2 ; Product of powers property 6. (7 y 2 z 5)(y– 4 z– 1) ANSWER 7 z 4; Product of powers property, y 2 Negative exponent property

GUIDED PRACTICE 7. s 3 t– 4 2 ANSWER 8. for Examples 3, 4, and 5 x 4 y– 2 x 3 y 6 s 6 t 8 ; Power of a power property, Negative exponent property 3 ANSWER 3 x ; Quotient of powers property, y 24 Power of a Quotient property, Negative exponent property

SCIENTIFIC NOTATION n Is in the form c x 10 n n n C is a number between 1 and 9. 99………. n is an integer n n Positive = bigger number (move right) Negative = smaller number (move left)

SCIENTIFIC NOTATION Examples… n Ex 1) 1, 200 n Ex 2) 0. 0004 n Ex 3) 31, 200, 000

Multiplying Scientific Notation Examples… n Ex 4) (3. 2 x 103) (1. 4 x 102) n Ex 5) (2. 7 x 104) 2 n Ex 6) (2. 2 x 10 -5) (7. 4 x 103)

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

Homework n Pg. 110, 1 – 32 all