In Exercises 53-58, simplify each expression using the power rule. 53. (x)10 54. (x³)? 55. (b4)3 56. (b8)-3 57. (74)5 58. (94-5

Q: - 1000 = - 10 because (-100) ³ 3-10 3√√-100 (-10) ³ 1000

A: we know  that  (-1)3=-1let  G=-10003(ax)y=axy

Q: 2. Evaluate each expression 2-3 (주) 8 3 flip 5-² 10 -100 (우)2 = (64

A: To evaluate each expression

Q: Simplify the expression below. * (3x + 2)(3x - 2) А. бх2 В. 9х2-4 C. 9x2 + 12x - 4 D. 9x2 - 12x - 4

A:

Q: 4 -8 = 0 Example 51. Find 5 6 |-4 x 7

A:

Q: What is the coefficent of the term with a² when you expand out (3x + 2)7 (A) 15120 (B) 6048 (C) 1344…

A: We have to solve given problem:

Q: (4х- 3) (х - 4)

A: Given data,                       4x-3  x-4

Q: (r-4)(x+6)

A:

Q: What is the value of x in the expression 125 -5*+107 A) B D

A: The given expression is: 1125x-2=5x+10   As we know from the exponent rule: 1). a-m=1am 2). amn=am×n…

Q: Can the expression (-x+7) (xー7)(x+7) 2. be simplified further?

A: -x+7(x-7)(x+7)

Q: ゴ=(+x)(+)

A: A differential equation is an equation in x,y and derivatives of y. A first order differential…

Q: (Optional) Without evaluating the products, reason which expression is greater, 3394 · 3328 or…

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Q: simplify 57. (Va - b)(Va + b) 58. (VA +1 + 1)(V* +1 - 1)

A:

Q: Write an equivalent expression for (x- 6)(x - 3) by using the distributive property and by modeling.

A: The distributive property is a·b+c=a·b+a·c. To simplify expression x-6x-3 consider x-6 as a, x as b…

Q: Explain the error. (√-9)2 = √-9 . √-9 = √81 = 9

A: (√-9)2 = √-9 . √-9 = √81 = 9 We need to Explain the error in the given simplification.

Q: 3+7-2x 73

A: The given inequality is 3+7-2x≥3.

Q: Two no. sum of squares 97, difference of squares 65 1- (9,7) (8,7) 2- (8,6) 2- 4- (9,4)

A: Let the numbers are x and y

Q: In Exercises 55-68, multiply using one of the rules for the square of a binomial. 55. (х + 3)2 56.…

A: "Since you asked multiple questions, we will solve the first question for you. If you want any…

Q: Question Fill in the blanks with the values of A and B B (√22)^ × (√22)² = (√22)³ = A = B = = 22

A:

Q: Can someone explain how -2(.003)x +120 turns into 120/.006 please? It's the last step and i don't…

A: .

Q: (5+i6)+(3435) (2-14)-(3+i7)

A: Given,      (5+i6)+3∠35(2-i4)-(3+i7)=

Q: (5 - x)³ - 9 Бу 3x

A:

Q: (17x-20)" 59 75

A:

Q: 15s + 225 2 (s + 225)

A:

Q: Justify these correct answers (BOTH) Which of the following are equivalent to the expression below?…

A: From the data: The equation is :

Q: Simplify the expression (picture down below)

A: To evaluate:(-z)5 (4z )6

Q: Use the power rules to simplify the expression. (3a^(8)b)^(4)

A: Concept - if the base is common then power will be multiplied to each other

Q: Discrete Math Let a be an odd integer. Show that (a) 8 | a^2 − 9; (b) 16 | a^4 − 81.

A:

Q: [-1 -6] 4

A:

Q: 10-3x>1

A: Given,            10-3x>1

Q: A digital music company charges a monthly membership of $12.00 and $0.75 to download each song. 44.…

A: Cost function

Q: 119s³-235s²+84s-90- (s3-3s2)(3s+5) . L−1[1195³.

A:

Q: Simplify the expression. Write your answer as a power. 2 310 3. (-)" 10 10

A:

Q: (x²+ 1)2 86. 2x? + 1)-12 1-2

A:

Q: Simplify (12a - 6a - 10a) - (10a- 2a-14a). Write the answer in standard form.

A: given,

Q: (b) ( 2y°z

A:

Q: 1 = [ 2²/6 - If A 6 -2 then det (A) = and A1 1991

A:

Q: What is another way to describe the following expression 5- (x + y) 3 The 3 is supposed to be little…

A: