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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. 1.61 (page 49)

Simplify: $\frac{{(\frac{1}{3})}^{2}}{2^{3} + 2}$

Short Answer

Expert verified

The solution is $\frac{1}{90}$

Step by step solution

01

Step 1. Given information

The fraction: $\frac{{(\frac{1}{3})}^{2}}{4 + 3^{2}}$

02

Step 2. Calculation

We have,

$\frac{{(\frac{1}{3})}^{2}}{2^{3} + 2} \frac{\frac{1}{9}}{2^{3} + 2} s i m p l i f y i n g t h e n u m e r a t o r \frac{\frac{1}{9}}{8 + 2} s i m p l i f y i n g t h e d e n o m i n a t o r \frac{\frac{1}{9}}{10} s i m p l i f y i n g \frac{1}{9} 梅 \frac{10}{1} d i v i d i n g \frac{1}{9} 脳 \frac{1}{10} m u l t i p l y i n g \frac{1}{90}$

The solution is $\frac{1}{90}$

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Most popular questions from this chapter

Translate the English phrase into an algebraic expression:
(a) Four times the sum of p and q.
(b) The sum of four times p and q.

$12 (\frac{1}{3} n + \frac{3}{4})$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

28, 40

Fill in $<$ , $>$ or $=$ for each of the following pairs of numbers:

(a) localid="1644070592762" $- 9__- |- 9|$

(b) localid="1644070601216" $2__- |- 2|$

(c)localid="1644070617682" $- 8__|- 8|$

(d)localid="1644070630416" $- (- 9)__|- 9|$

In the following exercises, simplify each expression.

$8 + 2 [7 - 2 (5 - 3)] - 3^{2}$

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