Q. 190 In the following exercises, mult... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 190 (page 798)

In the following exercises, multiply.
a. $(4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}})$
b. $(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$

Short Answer

Expert verified

On multiplication, we get $- 48 z^{5} \sqrt{4 z}, - 6 b \sqrt[4]{3 b^{2}}$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $(4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}), (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$

Part (a) Step 2: Multiplying the terms and simplifying

Multiplying the terms and simplifying

$(4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = [4 路 (- 3)] (\sqrt{2 k^{5}} 路 \sqrt{32 k^{6}}) (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 12 路 \sqrt{64 k^{11}} (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 12 路 \sqrt{16 z^{10} 路 4 z} (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 12 路 \sqrt{16 z^{10}} 路 \sqrt{4 z} (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 12 路 \sqrt{{(4 z^{5})}^{2}} 路 \sqrt{4 z} (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 12 路 4 z^{5} 路 \sqrt{4 z} (4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}}) = - 48 z^{5} \sqrt{4 z}$

Part (b) Step 1: Given information

Given expression $(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$

Part (b) Step 2: Multiplying the terms and simplifying

Multiplying the terms and simplifying, we get

$(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = [(- 1) 路 (3)] (\sqrt[4]{6 b^{3}} 路 \sqrt[4]{8 b^{3}}) (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = - 3 路 \sqrt[4]{48 b^{6}} (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = - 3 路 \sqrt[4]{16 b^{4} 路 3 b^{2}} (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = - 3 路 \sqrt[4]{(2 b)^{4}} 路 \sqrt[4]{3 b^{2}} (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = - 3 路 2 b 路 \sqrt[4]{3 b^{2}} (- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}}) = - 6 b \sqrt[4]{3 b^{2}}$

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91影视

In the following exercises, multiply.
a. $(4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}})$
b. $(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2: Multiplying the terms and simplifying

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91影视

In the following exercises, multiply.a.42k5-332k6b.-6b3438b34

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2: Multiplying the terms and simplifying

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, multiply.
a. $(4 \sqrt{2 k^{5}}) (- 3 \sqrt{32 k^{6}})$
b. $(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$