Q. 253 In the following exercise , simp... [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. 253 (page 810)

In the following exercise , simplify
$(i) \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} (i i) \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}}$

Short Answer

Expert verified

Part (a) The solution is $\frac{8 m^{4}}{3 n^{4}}$ .

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

Step by step solution

Step 1. Given information

The given equations are $(i) \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} (i i) \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}}$

Step 2. Calculation Part(a).

$(i) \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} = \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} [Write the expression] = \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} [Rewrite using quotient property = \frac{\sqrt{64 m^{8}}}{\sqrt{9 n^{8}}} [Cancel out common property] = \frac{\sqrt{8 m^{8}}}{\sqrt{3 n^{8}}} [Simplify] Hence the simplified form is \frac{\sqrt{8 m^{8}}}{\sqrt{3 n^{8}}}$

Step 3. Calculation Part(b)

$(i i) \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}} = \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}} Write the expression = \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}} Rewrite using quotient property = \frac{\sqrt{8 x^{4}}}{\sqrt{- 27 y^{4}}} Cancel out common factors = \frac{- 2 x^{2}}{3 y^{2}} Simplify The simplified form is \frac{- 2 x^{2}}{3 y^{2}} .$

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91影视

In the following exercise , simplify
$(i) \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} (i i) \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}}$

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.

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91影视

In the following exercise , simplify(i)320mn-545m-7n3(ii)16x4y-2-54x-2y4

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

Logic and Functions

Calculus

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise , simplify
$(i) \frac{\sqrt{320 m n^{- 5}}}{\sqrt{45 m^{- 7} n^{3}}} (i i) \frac{\sqrt{16 x^{4} y^{- 2}}}{\sqrt{- 54 x^{- 2} y^{4}}}$