Over Chapter 6 Multiplication Properties of Exponents Lesson
![Power of a Power Simplify [(23)3]2 = (23● 3)2 Power of a Power =](https://slidetodoc.com/presentation_image_h2/701b252e558cebc9b4708dd0739cf9ef/image-13.jpg "Power of a Power Simplify [(23)3]2 = (23● 3)2 Power of a Power =")
![Simplify [(42)2]3.](https://slidetodoc.com/presentation_image_h2/701b252e558cebc9b4708dd0739cf9ef/image-14.jpg "Simplify [(42)2]3.")
![Simplify Expressions Simplify [(8 g 3 h 4)2]2(2 gh 5)4 = (8 g 3](https://slidetodoc.com/presentation_image_h2/701b252e558cebc9b4708dd0739cf9ef/image-19.jpg "Simplify Expressions Simplify [(8 g 3 h 4)2]2(2 gh 5)4 = (8 g 3")
![Simplify [(2 c 2 d 3)2]3(3 c 5 d 2)3.](https://slidetodoc.com/presentation_image_h2/701b252e558cebc9b4708dd0739cf9ef/image-20.jpg "Simplify [(2 c 2 d 3)2]3(3 c 5 d 2)3.")
- Slides: 21
Over Chapter 6
Multiplication Properties of Exponents Lesson 7 -1
Understand how to multiply monomials and simplify expressions using properties of exponents
• Monomial – a number, a variable, or the product of a number and one or more variables with nonnegative integer exponents • Constant – a monomial that is a real number
Determine whether each expression is a monomial. Explain your reasoning. A. 17 – c Answer: No; the expression involves subtraction, so it has more than one term. B. 8 f 2 g Answer: Yes; the expression is the product of a number and two variables. 3 C. __ 4 Answer: Yes; the expression is a constant. 5 D. __ t Answer: No; the expression involves division by a variable.
Which expression is a monomial? A. x 5 B. 3 p – 1 C. D.
Product of Powers A. Simplify (r 4)(– 12 r 7) = [1 ● (– 12)](r 4)(r 7) Group the coefficients and the variables. = [1 ● (– 12)](r 4+7) Product of Powers = – 12 r 11 Simplify. Answer: – 12 r 11
Product of Powers B. Simplify (6 cd 5)(5 c 5 d 2) = (6 ● 5)(c ● c 5)(d 5 ● d 2) Group the coefficients and the variables. = (6 ● 5)(c 1+5)(d 5+2) Product of Powers = 30 c 6 d 7 Simplify. Answer: 30 c 6 d 7
A. Simplify (5 x 2)(4 x 3).
Power of a Power Simplify [(23)3]2 = (23● 3)2 Power of a Power = (29)2 Simplify. = 29● 2 Power of a Power = 218 or 262, 144 Simplify. Answer: 218 or 262, 144
Simplify [(42)2]3.
Power of a Product GEOMETRY Find the volume of a cube with side length 5 xyz. Volume = s 3 Formula for volume of a cube = (5 xyz)3 Replace s with 5 xyz. = 53 x 3 y 3 z 3 Power of a Product = 125 x 3 y 3 z 3 Simplify. Answer: 125 x 3 y 3 z 3
Express the surface area of the cube as a monomial.
Simplify Expressions Simplify [(8 g 3 h 4)2]2(2 gh 5)4 = (8 g 3 h 4)4(2 gh 5)4 Power of a Power = (8)4(g 3)4(h 4)4 (2)4 g 4(h 5)4 Power of a Product = 4096 g 12 h 16(16)g 4 h 20 Power of a Power = 4096(16)g 12 ● g 4 ● h 16 ● h 20 Commutative Property = 65, 536 g 16 h 36 Answer: 65, 536 g 16 h 36 Product of Powers
Simplify [(2 c 2 d 3)2]3(3 c 5 d 2)3.
Homework p 395 #27 -67 odd