Chapter 5: Q. 5.50 (page 524)

Multiply : (a) (-6b⁴)(-9b⁵)
(b) $(\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$

Short Answer

Expert verified

$(a) B y m u l t i p l y t h e b i n o m i a l s u \sin g d i s t r i b u t i v e p r o p e r t y, w e g e t (- 6 b^{4}) (- 9 b^{5}) 54 b^{9} (b) B y m u l t i p l y t h e b i n o m i a l s u \sin g d i s t r i b u t i v e p r o p e r t y, w e g e t (\frac{2}{3} r^{5} s) (12 r^{6} s^{7}) 8 r^{11} s^{8}$

Step by step solution

Step 1

Given Information;

$(a) (- 6 b^{4}) (- 9 b^{5}) (b) (\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$

Step 2.

Commutative Property of Multiplication

The Commutative property states that " changing the order of the operands does not change the result."
The commutative property for addition is A + B = B + A
The commutative property for multiplication is A × B = B × A

Part(a) Step1. Multiply by commutative property.

$(a) (- 6 b^{4}) (- 9 b^{5}) u s e c o m m u t a t i v e p r o p e r t y (- 6) \times (- 9) \times b^{4} \times b^{5} M u l t i p l e 54 b^{4 + 5} 54 b^{9}$

Part(b) Step1. Multiply by commutative property.

$(b) (\frac{2}{3} r^{5} s) (12 r^{6} s^{7}) U s e c o m m u t a t i v e p r o p e r t y \frac{2}{3} \times 12 \times r^{5} \times s \times r^{6} \times s^{7} M u l t i p l e 8 \times r^{5 + 6} \times s^{1 + 7} 8 r^{11} s^{8}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Multiply : (a) (-6b⁴)(-9b⁵)
(b) $(\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$

Short Answer

Step by step solution

Step 1

Step 2.

Part(a) Step1. Multiply by commutative property.

Part(b) Step1. Multiply by commutative property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Pure Maths

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Multiply : (a) (-6b4)(-9b5) (b)(23r5s)(12r6s7)

Short Answer

Step by step solution

Step 1

Step 2.

Part(a) Step1. Multiply by commutative property.

Part(b) Step1. Multiply by commutative property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Pure Maths

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Multiply : (a) (-6b⁴)(-9b⁵)
(b) $(\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$