Q. 202 Simplify聽33-32342... [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 1: Q. 202 (page 53)

Simplify $\frac{3^{3} - 3^{2}}{{(\frac{3}{4})}^{2}}$

Short Answer

Expert verified

On simplifying the given expression, we get

$\frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = 32$

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressiongivenis \\ \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Simplify the numerator and denominator

$\begin{array}{l} 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{(3 脳 3 脳 3) 鈭� (3 脳 3)}{(\frac{3^{2}}{4^{2}})} \\ 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{27 鈭� 9}{(\frac{9}{16})} \\ 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{18}{(\frac{9}{16})} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{18}{(\frac{9}{16})} \\ 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{18 脳 16}{9} \\ 鈬� \frac{3^{3} 鈭� 3^{2}}{{(\frac{3}{4})}^{2}} = \frac{9 脳 2 脳 16}{9} \\ = 32 \end{array}$

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91影视

Simplify $\frac{3^{3} - 3^{2}}{{(\frac{3}{4})}^{2}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

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91影视

Simplify33-32342

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Probability and Statistics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Simplify $\frac{3^{3} - 3^{2}}{{(\frac{3}{4})}^{2}}$