Q. 248 In the following exercise simpli... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 248 (page 810)

In the following exercise simplify.
$(i) \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} (i i) \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}}$

Short Answer

Expert verified

Part (a) The solution is $\frac{2 n^{3}}{3}$

Part (b) The solution is $\frac{3}{2 y}$

Step by step solution

Step 1. Given information

The given equations are $(i) \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} (i i) \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}}$

Step 2. Calculation Part(a)

$(i) \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} = \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} Write the expression = \sqrt[]{\frac{108 n^{7}}{243 n^{2}}} Rewrite using quotient property = \sqrt[]{\frac{4 n^{4}}{9}} C ancel out common factor = \frac{2 n^{2}}{3} Hnece the simplified value i s \frac{2 n^{2}}{3}$

Step 3. Calculation Part(b)

$(i i) \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}} = \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}} Write the expression = \sqrt[3]{\frac{54 y}{16 y^{4}}} Rewrite using quotient property = \sqrt[3]{\frac{27}{8 y^{3}}} Cancel out the common property = \frac{3}{2 y} Hence the simplified value is \frac{3}{2 y}$

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91影视

In the following exercise simplify.
$(i) \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} (i i) \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation Part(a)

Step 3. Calculation Part(b)

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91影视

In the following exercise simplify.(i)108n7243n3(ii)54y316y43

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation Part(a)

Step 3. Calculation Part(b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercise simplify.
$(i) \frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}} (i i) \frac{\sqrt[3]{54 y}}{\sqrt[3]{16 y^{4}}}$