Easy Algebra Step-by-Step

52 Easy Algebra Step-by-Step c.^1 (. 06 )−^2 Solution a. 1 2 −^5 Step 1. Apply 1 x −n=xn. 1 2 − 5 =^25 Step 2. Evaluate 25. 1 2 ...

Exponentiation 53 Unit Fraction and Rational Exponents Unit Fraction Exponents If x is a real number and n is a natural number, ...

54 Easy Algebra Step-by-Step Step 2. − 16 is negative and 4 is even, so ()− 14 / is not a real number. ()−^14 / =−^416 is not de ...

Exponentiation 55 Solution a. ⎛⎝⎜⎛⎛⎝⎝− ⎞⎠⎟⎞⎞⎠⎠ 1 8 23 / Step 1. Rewrite ⎛− ⎝ ⎛⎛⎛⎛ ⎝⎝ ⎛⎛⎛⎛ ⎞ ⎠ ⎞⎞⎞⎞ ⎠⎠ (^1) ⎞⎞⎞⎞ 8 23 / using xm/ ...

56 Easy Algebra Step-by-Step Problem Evaluate using xm//n ()xm n. a. ⎛− ⎝⎜ ⎛⎛ ⎝⎝ ⎞ ⎠⎟ ⎞⎞ ⎠⎠ 1 8 23 / b. ()^32 // Solution a. ⎛− ...

Exponentiation 57 Step 2. Find () 363. () 363 = 4 6 656, Step 3. Find ()46 656,.^12 / ()^46 ,^65612 / =^216 Step 4. Review the m ...

58 5 Order of Operations In this chapter, you apply your skills in computation to perform a series of indicated numerical operat ...

Order of Operations 59 d. 85 e. 36 + 64 Solution a. ()^4 Step 1. Parentheses are a grouping symbol, so do 11 fi rst. () 11 )^444 ...

60 Easy Algebra Step-by-Step d. 815 Step 1. Absolute value bars are a grouping symbol, so do 815 fi rst. 8157 Step 2. Evaluate − ...

Order of Operations 61 Problem Simplify. a. 60 12 − 343 +() 111 +^3 b. 100 + 838 2 −÷ 6363 () 25 c. − 72 + (^5) + 35 − 81 +− 5 − ...

62 Easy Algebra Step-by-Step b. 100 + 838 2 −÷ 6363 () 25 Step 1. Compute 25 inside the parentheses. 100 + 838 2 −÷ 6363 () 25 = ...

Order of Operations 63 Step 3. Compute 18 − 2 . =− 9 + 78 − Step 4. Compute − 97 +. =−− 2 8 Step 5. Compute − 28 −. =− 10 Step 6 ...

64 6 Algebraic Expressions This chapter presents a discussion of algebraic expressions. It begins with the basic terminology tha ...

Algebraic Expressions 65 Solution a. 5 9 () 32 , where F is the number of degrees Fahrenheit Step 1. Recall that a letter names ...

66 Easy Algebra Step-by-Step Solution a. –5x Step 1. Identify the numerical coeffi cient by observing that the number − 5 immedi ...

Algebraic Expressions 67 expression by substituting the given numerical value for each variable and then simplifying by performi ...

68 Easy Algebra Step-by-Step c.^6 71 () 1 x Step 1. Substitute 4 for x in the expression 6 71 x ()x^1. 6 71 6 x 741 ()x 1 = () 4 ...

Algebraic Expressions 69 = − 52 4 =− 13 Step 3. State the main result. − ()− + =− 15 + 1 13 y+ (^5) ( z when x = 4, y = (^) − 8 ...

70 Easy Algebra Step-by-Step Problem Find C when F = 212 using the formula C 5 9 ()FF− 32. Solution Step 1. Substitute 212 for F ...

Algebraic Expressions 71 If an opposite (−) symbol immediately precedes parentheses that enclose an algebraic expression, remove ...