4.1 Properties of Exponents PG. 107
Must Have the Same Base to Apply Most Properties
“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” Properties of Exponents
Investigating Math Activity (p. 101)
GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression. Tell which properties of exponents you used. 1. (4 2 ) ; Power of a power property 2. (–8)(–8) ; Product of a powers property ; Power of a quotient property ANSWER
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 –6 x 5 x 3 x 2 ; Product of powers property 6. (7y 2 z 5 )(y –4 z –1 ) 7z 4 y2y2 ; Product of powers property, Negative exponent property ANSWER
GUIDED PRACTICE for Examples 3, 4, and 5 7. s 3 2 t –4 s6t8s6t8 ; Power of a power property, Negative exponent property 8. x 4 y –2 3 x3y6x3y6 ; Quotient of powers property, Power of a Quotient property, Negative exponent property x3 x3 y 24 ANSWER
SCIENTIFIC NOTATION Is in the form c x 10 n 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… Ex 1) 1,200 Ex 2) Ex 3) 31,200,000
Multiplying Scientific Notation Examples… Ex 4) (3.2 x 10 3 ) (1.4 x 10 2 ) Ex 5) (2.7 x 10 4 ) 2 Ex 6) (2.2 x ) (7.4 x 10 3 )
GUIDED PRACTICE for Examples 1 and – ; quotient of power property ANSWER
Homework Pg. 110, 1 – 32 all