Use powers and exponents in expressions.

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Presentation transcript:

Use powers and exponents in expressions. base exponent Lesson 9 MI/Vocab

Lesson 9 Ex1

Write Expressions Using Powers Write 3 ● 3 ● 3 ● 7 ● 7 using exponents. 3 ● 3 ● 3 ● 7 ● 7 = (3 ● 3 ● 3) ● (7 ● 7) Associative Property = 33 ● 72 Definition of exponents Answer: 33 ● 72 Lesson 9 Ex1

Write 2 ● 2 ● 2 ● 2 ● 5 ● 5 ● 5 using exponents. A. 23 ● 53 B. 24 ● 53 C. (2 ● 5)4 D. (2 ● 5)7 A B C D Lesson 9 CYP1

Write Expressions Using Powers Write p ● p ● p ● q ● p ● q ● q using exponents. p ● p ● p ● q ● p ● q ● q = p ● p ● p ● p ● q ● q ● q Commutative Property = (p ● p ● p ● p) ● (q ● q ● q) Associative Property = p4 ● q3 Definition of exponents Answer: p4 ● q3 Lesson 9 Ex2

Write x ● y ● x ● x ● y ● y ● y using exponents. A. x3 ● y4 B. x4 ● y3 C. x3 ● y7 D. (x ● y)7 A B C D Lesson 9 CYP2

Write x ● y ● x ● 5 ● y ● 5 ● y using exponents. A B C D Lesson 9 CYP2

A power applies only to what is directly in front of it. Evaluate when x = 6. The problem. x2 Substitute. (6)2 Write factors. (6)(6) Simplify. 36

95 = 9 ● 9 ● 9 ● 9 ● 9 Definition of exponents Evaluate Powers Evaluate 95. 95 = 9 ● 9 ● 9 ● 9 ● 9 Definition of exponents = 59,049 Simplify. Check using a calculator. 9 5 59049 ENTER Answer: 59,049 Lesson 9 Ex3

Evaluate 65. A. 30 B. 1,296 C. 6,842 D. 7,776 A B C D Lesson 9 CYP3

ALGEBRA Evaluate x3 ● y5 if x = 4 and y = 2. Evaluate Powers ALGEBRA Evaluate x3 ● y5 if x = 4 and y = 2. x3 ● y5 = 43 ● 25 Replace x with 4 and y with 2. = (4 ● 4 ● 4) ● (2 ● 2 ● 2 ● 2 ● 2) Write the powers as products. = 64 ● 32 Simplify. = 2,048 Simplify. Answer: 2,048 Lesson 9 Ex5

ALGEBRA Evaluate x2 ● y4 if x = 3 and y = 4. C. 2,304 D. 3,112 A B C D Lesson 9 CYP5