EBK COLLEGE ALGEBRA
10th Edition
ISBN: 8220103599528
Author: Larson
Publisher: CENGAGE L
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Chapter A, Problem 49E
To determine
To calculate: The simplest form of the expression
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Discrete Math
Let a be an odd integer. Show that
(a) 8 | a^2 − 9;
(b) 16 | a^4 − 81.
ALGEBRAI PRACTICE/ SECTION 1 / 90F 9
Let r, s, and w represent three distinct numbers.
• r is a nonzero rational number.
s is a nonzero rational number.
w is an irrational number.
For each expression in the following table, indicate whether the value of the expression must be rational or
irrational.
Select one box per row.
Must Be Rational
Must Be Irrational
r+ s
TS
True or false: 5-2 = -52_______
Chapter A Solutions
EBK COLLEGE ALGEBRA
Ch. A - Describe and correct the error. x2+4=x+2Ch. A - Prob. 2ECPCh. A - Prob. 3ECPCh. A - Prob. 4ECPCh. A - Prob. 5ECPCh. A - Rewrite each fraction as the sum of three terms....Ch. A - Prob. 1ECh. A - Fill in the blanks. When dividing fractions,...Ch. A - Prob. 3ECh. A - Prob. 4E
Ch. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10ECh. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Unusual Factoring In Exercises 17-24, complete the...Ch. A - Prob. 24ECh. A - Inserting Factors in an Expression In Exercises...Ch. A - Prob. 26ECh. A - Inserting Factors in an Expression In Exercises...Ch. A - Prob. 28ECh. A - Prob. 29ECh. A - Prob. 30ECh. A - Prob. 31ECh. A - Prob. 32ECh. A - Prob. 33ECh. A - Prob. 34ECh. A - Prob. 35ECh. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42ECh. A - Prob. 43ECh. A - Prob. 44ECh. A - Prob. 45ECh. A - Prob. 46ECh. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56ECh. A - Prob. 57ECh. A - Prob. 58ECh. A - Prob. 59ECh. A - Athletics An athlete has set up a course in which...Ch. A - Prob. 61ECh. A - Prob. 62E
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- Evaluating an Algebraic Expression In Exercises 15-20, evaluate the expression for the given value of x. 7x2,x=4arrow_forwardUsing Properties of Exponents In Exercises 21-26, simplify each expression. (a) 6y22y02 (b) z33z4arrow_forwardRewriting with Positive Exponents In Exercises 27-30, rewrite each expression with positive exponents. Simplify, if possible. (a) 4y28y4 (b) z+23z+21arrow_forward
- Exploration In Exercises 91 and 92, find the constant csuch that the denominator will divide evenly into the numerator. x3+4x23x+cx5arrow_forwardRationalizing a denominator containing two terms, multiply by the conjugate. I'm doing something wrong. Can someone help?arrow_forwardChemistry Add 2.33 × 103 to 4.16 × 102 and express the X answer in scientific notation. 27.5 x 10² 4.39 × 10² X 2.75 × 103 2.75 × 10² X 4.39 × 103 Xarrow_forward
- Can someone please help me?arrow_forwardEXAMPLE 1 Simplify each expression. Assume that x can represent any nonzero real number. (a) 64-1/2 (b) (-16)-5/4 (c) -625-3/4 (d) (-32x5)-2/5 and (e) 1 25-3/2 Strategy 1 or x-m/n We will use one of the rules x-m/n 1 xm/n to write the reciprocal of each exponential expression and change the exponent's sign to positive. tm/n Why If we can produce an equivalent expression having a positive rational exponent, we can use the methods of this section to simplify it. Solution 1 Because the exponent is negative, write the reciprocal of 64¬1/2, and change the sign of the 1 (a) 64-1/2 641/2 64 8. exponent. (b) (-16)-5/4 is not a real number because (-16)5/4 is not a real number. (c) In -625-3/4, the base is 1 1 -625- -3/4 625)3 1 1 %3D %3D %D 6253/4 53 125 1 1 (d) (-32x5)-2/5 = 1 %D %D (-32x5)2/5 ¯ (V-32x5)2 (-2x)² 1 (e) -3/2 = 253/2 = (/25)³ = 53 = Because the exponent is negative, write the reciprocal of 1 25-3/2 and change the sign of the 25-3/2' exponent. ||arrow_forwardQuestion Fill in the blanks with the values of A and B A (22)^x (22)³=(√22) B: || 00 B = 22arrow_forward
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