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Elementary Technical Mathematics

12th Edition
Dale Ewen
Publisher: Cengage Learning
ISBN: 9781337630580

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Chapter
Section
BuyFindarrow_forward

Elementary Technical Mathematics

12th Edition
Dale Ewen
Publisher: Cengage Learning
ISBN: 9781337630580
Chapter 5.1, Problem 39E
Textbook Problem
1 views

In Exercises 33-42, let x = 1 , y = 2 , and  z = 3

. Evaluate each expression:

( x 2 + y 2 ) 2

To determine

To calculate: The value of expression (x2+y2)2 if x=1 and y=2 and z=3.

Explanation of Solution

Given Information:

The provided expression is (x2+y2)2, for x=1 and y=2 and z=3.

Formula Used:

Replace the letter with given numbers, and then perform the arithmetic using order of the operation.

The addition of two numbers x+y means add x and y.

The multiplication of two numbers xy or xy or (x)(y) or (x)y means multiply x by y.

The subtraction of two numbers xy means subtract y to x, that is, x+(y).

The exponent form of xxxx means use x as a factor 4 times, which is abbreviated by writing x4.

Follow the order of operation as,

First perform all operations inside parentheses and if the problem contains a fraction bar, then treat the numerator and denominator separately.

If there is any powers evaluate all of them,

Perform any multiplication and division in order, from left to right.

Perform any addition and subtraction in order, from left to right.

Calculation:

Consider the provided expression as (x2+y2)2

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Chapter 5 Solutions

Elementary Technical Mathematics
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Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression: a(bc)Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - 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Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - 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Use the rules for exponents to simplify: (25n4)3Ch. 5.4 - Use the rules for exponents to simplify: (36a5)3Ch. 5.4 - Use the rules for exponents to simplify: (3x2x4)2Ch. 5.4 - Use the rules for exponents to simplify: (16x4x5)3Ch. 5.4 - Use the rules for exponents to simplify: (2x3y4z)3Ch. 5.4 - Use the rules for exponents to simplify:...Ch. 5.4 - Use the rules for exponents to simplify:...Ch. 5.4 - Use the rules for exponents to simplify: (4p5q7r)3Ch. 5.4 - Evaluate each expression when a=2andb=3: (4a)(17b)Ch. 5.4 - Evaluate each expression when a=2andb=3: (3a)(5b2)Ch. 5.4 - Evaluate each expression when a=2andb=3: (9a2)(2a)Ch. 5.4 - Evaluate each expression when a=2andb=3: (a2)(ab)Ch. 5.4 - Evaluate each expression when a=2andb=3:...Ch. 5.4 - Evaluate each expression when a=2andb=3: (ab)2Ch. 5.4 - Evaluate each expression when a=2andb=3: (a2)2Ch. 5.4 - Evaluate each expression when a=2andb=3: (3a)2Ch. 5.4 - Evaluate each expression when a=2andb=3: (4b)3Ch. 5.4 - Evaluate each expression when a=2andb=3: (2ab2)2Ch. 5.4 - 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Find each product. 4x(7x23y+2xy)Ch. 5.5 - Find each product. 7a(2a+3b4ab)Ch. 5.5 - Find each product. 3xy(x2yxy2+4xy)Ch. 5.5 - Find each product. 2ab(3a2+4ab2b2)Ch. 5.5 - Find each product. 6x3(16x2+9x4)Ch. 5.5 - Find each product. 5x4(2x3+8x21)Ch. 5.5 - Find each product. 5ab2(a3b3ab)Ch. 5.5 - Find each product. 7w2y(w24y2+6w2y3)Ch. 5.5 - Find each product. 23m(14n12m)Ch. 5.5 - Find each product. 12a2b(8ab22a2b)Ch. 5.5 - Find each product. 47yz3(28y25z)Ch. 5.5 - Find each product. 18rs(3s16t)Ch. 5.5 - Find each product. 4a(1.3a5+2.5a2+1)Ch. 5.5 - Find each product. 1.28(2.3m2+4.7n2)Ch. 5.5 - Find each product. 417a(3.2a2+4a)Ch. 5.5 - Find each product. 1.2m3n2(9.7m+6.5mn13n2))Ch. 5.5 - Find each product. 4x2y(6x24xy+5y2)Ch. 5.5 - Find each product. x2y3z(x43x2y3yz+4z2)Ch. 5.5 - Find each product. 23ab3(34a212ab2+56b3)Ch. 5.5 - Find each product. 59a2b4(37a3b235ab1516b4)Ch. 5.5 - Find each product. 3x(x4)+2x(15x)6x(2x3)Ch. 5.5 - Find each product. x(x2)3x(x+8)2(x2+3x5)Ch. 5.5 - Find each product. xy(3x+2xyy2)2xy2(2xxy+3y)Ch. 5.5 - Find each product. ab2(2a3a2b+b)a2b(1+2ab24b)Ch. 5.5 - Find each product. (x+1)(x+6)Ch. 5.5 - Find each product. (x+10)(x3)Ch. 5.5 - Find each product. (x+7)(x2)Ch. 5.5 - Find each product. (x3)(x7)Ch. 5.5 - Find each product. (x5)(x8)Ch. 5.5 - Find each product. (x+9)(x+4)Ch. 5.5 - Find each product. (3a5)(a4)Ch. 5.5 - Find each product. (5x2)(3x4)Ch. 5.5 - Find each product. (6a+4)(2a3)Ch. 5.5 - Find each product. (3x+5)(6x7)Ch. 5.5 - Find each product. (4a+8)(6a+9)Ch. 5.5 - Find each product. (5x4)(5x4)Ch. 5.5 - Find each product. (3x2y)(5x+2y)Ch. 5.5 - Find each product. (4x6y)(6x+9y)Ch. 5.5 - Find each product. (2x3)(2x3)Ch. 5.5 - Find each product. (5m9)(5m+9)Ch. 5.5 - Find each product. (2c5d)(2c+5d)Ch. 5.5 - Find each product. (3a+2b)(2a3b)Ch. 5.5 - Find each product. (7m3)(13m+1)Ch. 5.5 - Find each product. (wr)(ws)Ch. 5.5 - Find each product. (x5x2)(x31)Ch. 5.5 - Find each product. (7w46r2)(7w4+5r2)Ch. 5.5 - Find each product. (2y24y8)(5y2)Ch. 5.5 - Find each product. (m2+2m+4)(m2)Ch. 5.5 - Find each product. (4x2y13)(6x+3y)Ch. 5.5 - Find each product. (4y3z)(2y25yz+6z2)Ch. 5.5 - Find each product. (g+h6)(gh+3)Ch. 5.5 - Find each product. (2x3y+4)(4x5y2)Ch. 5.5 - Find each product. (8xx3+2x41)(x2+2+5x3)Ch. 5.5 - Find each product. (y5y4+y3y2+y1)(y+1)Ch. 5.6 - Divide: 9x53x3Ch. 5.6 - Divide: 15x65x4Ch. 5.6 - Divide: 18x1212x4Ch. 5.6 - Divide: 20x74x5Ch. 5.6 - Divide: 18x33x5Ch. 5.6 - Divide: 4x212x6Ch. 5.6 - Divide: 8x212xCh. 5.6 - Divide: 6x32xCh. 5.6 - Divide: x2yxyCh. 5.6 - Divide: xy2x2yCh. 5.6 - Divide: (15x)(6x)Ch. 5.6 - Divide: (14x2)(3x3)Ch. 5.6 - Divide: (15a3b)(3ab2)Ch. 5.6 - Divide: (13a5)(7a)Ch. 5.6 - Divide: (16m2n)(2m3n2)Ch. 5.6 - Divide: (108m4n)(27m3n)Ch. 5.6 - Divide: 0(113w2r3)Ch. 5.6 - Divide: (148wr3)(148wr3)Ch. 5.6 - Divide: (207p3)(9p)Ch. 5.6 - Divide: (42x2y3)(14x2y4)Ch. 5.6 - Divide: 92mn46mnCh. 5.6 - Divide: 132rs333r2s2Ch. 5.6 - Divide: 2527r2Ch. 5.6 - Divide: 118a32a4Ch. 5.6 - Divide: 92x3y28xy3Ch. 5.6 - Divide: 45x672x3y2Ch. 5.6 - Divide: 16a5b214a8b4Ch. 5.6 - Divide: 35a3b4c663a3b2c8Ch. 5.6 - Divide: (72x3yz4)(162xy2)Ch. 5.6 - Divide: (144x2z3)(216x5y2z)Ch. 5.6 - Divide: (4x28x+6)2Ch. 5.6 - Divide: (18y3+12y2+6y)6Ch. 5.6 - Divide: (x4+x3+x2)x2Ch. 5.6 - Divide: (20r216r12)(4)Ch. 5.6 - Divide: (axayaz)aCh. 5.6 - Divide: (14c328c22c)(2c)Ch. 5.6 - Divide: 24a416a28a8Ch. 5.6 - Divide: 88x5110x4+11x311x3Ch. 5.6 - Divide: b12b9b6b3Ch. 5.6 - Divide: 27a318a2+36a9aCh. 5.6 - Divide: bx4bx3+bx24bxbxCh. 5.6 - Divide: 4a532a4+8a312a24a2Ch. 5.6 - Divide: 24x2y3+12x3y46xy32xy3Ch. 5.6 - Divide: 3.5ax20.42a2x+14a2x20.07axCh. 5.6 - Divide: 224x4y2z3168x3y2z4112xy4z228xy2z2Ch. 5.6 - Divide: 55w211w3311wCh. 5.6 - Divide: 24y518y312y6y2Ch. 5.6 - Divide: 3a2b+4a2b26ab22ab2Ch. 5.6 - Divide: 16x24x42x2Ch. 5.6 - Divide: 18w4r4+27w3r336w2r29w3r3Ch. 5.7 - Find each quotient and check: (x2+3x+2)(x+1)Ch. 5.7 - Find each quotient and check: (y25y+6)(y2)Ch. 5.7 - Find each quotient and check: (6a23a+2)(2a3)Ch. 5.7 - Find each quotient and check: (21y2+2y10)(3y+2)Ch. 5.7 - Find each quotient and check: (12x219)(3y+2)Ch. 5.7 - Find each quotient and check: (20x2+57x+30)(4x+9)Ch. 5.7 - Find each quotient and check: 2y2+3y52y1Ch. 5.7 - Find each quotient and check: 3x25x103x8Ch. 5.7 - Find each quotient and check: 6b2+13b282b+7Ch. 5.7 - Find each quotient and check: 8x2+13x27x+3Ch. 5.7 - Find each quotient and check: (6x3+13x2+x2)(x+2)Ch. 5.7 - Find each quotient and check: (8x318x2+7x+3)(x1)Ch. 5.7 - Find each quotient and check:...Ch. 5.7 - Find each quotient and check:...Ch. 5.7 - Find each quotient and check: 2x314x12x+1Ch. 5.7 - Find each quotient and check: x3+7x236x+3Ch. 5.7 - Find each quotient and check: 4x324x2+1282x+4Ch. 5.7 - Find each quotient and check: 72x3+22x+46x1Ch. 5.7 - Find each quotient and check: 3x3+4x26x2Ch. 5.7 - Find each quotient and check: 2x3+3x29x+5x+3Ch. 5.7 - Find each quotient and check: 4x3+2x2+30x+202x5Ch. 5.7 - Find each quotient and check: 18x3+6x24x6x2Ch. 5.7 - Find each quotient and check: 8x410x3+16x2+4x304x5Ch. 5.7 - Find each quotient and check:...Ch. 5.7 - Find each quotient and check: 8x312x+1Ch. 5.7 - Find each quotient and check: x3+1x+1Ch. 5.7 - Find each quotient and check: x416x+2Ch. 5.7 - Find each quotient and check: 16x4+22x1Ch. 5.7 - Find each quotient and check:...Ch. 5.7 - Find each quotient and check:...Ch. 5 - For any number a,a1=?Ch. 5 - For any number a,a0=?Ch. 5 - For any number a expect 0, a,a1a=?Ch. 5 - Evaluate: 104(3)Ch. 5 - Evaluate: 2+342Ch. 5 - Evaluate: (4)(12)623+1832Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - Is 18x2 a monomial, a binomial, or trinomial?Ch. 5 - Find the degree of the polynomial x4+2x36.Ch. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation: (6x2)(4x3)Ch. 5 - Perform the indicated operation: (7x2y)(8x3y2)Ch. 5 - Perform the indicated operation: (3x2)3Ch. 5 - Perform the indicated operation: 5a(3a+4b)Ch. 5 - Perform the indicated operation: 4x2(82x+3x2)Ch. 5 - Perform the indicated operation: (5x+3)(3x4)Ch. 5 - Perform the indicated operation: (3x26x+1)(2x4)Ch. 5 - Perform the indicated operation: (49x2)(7x3)Ch. 5 - Perform the indicated operation: 15x3y2xyCh. 5 - Perform the indicated operation: 36a327a2+9a9aCh. 5 - Perform the indicated operation: 6x2+x122x+3Ch. 5 - Perform the indicated operation: 3x3+2x26x+4x+2Ch. 5 - Evaluate: 35242Ch. 5 - Evaluate: 12232+331622Ch. 5 - Evaluate each expression when x=4andy=1. 4x23y3Ch. 5 - Evaluate each expression when x=4andy=1. 2x2y4x2yCh. 5 - Is 4+3x5x2 a monomial, a binomial, or a trinomial?...Ch. 5 - Rearrange the polynomial 3+4x25x3x in decreasing...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify: Add:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...

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In problems 49-54, rationalize the denominator and then simpify. 50.

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