x
Info
x
Warning
x
Danger
 / 
 / 
 / 
Simplify the expression. Write the answer using only positive exponents

Question : Simplify the expression. Write the answer using only positive exponents : 2151855

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.

Simplify the expression. Write the answer using only positive exponents. Assume that all variables represent positive real numbers.

1) (mn-13)(m-6n6)

A) m5n7

B) (1/m5n7)

C) (m5/n7)

D) (1/m6n7)

2) (3x5y5)3(x7y2)-4

A) (y7/27x13)

B) 27x13y7

C) (27/x13y7)

D) (27y7/x13)

3) 150 - (-12)0

A) 2

B) 27

C) -2

D) 0

4) ((3xy3z-2)2/(4x5yz-4)-1)

A) (36x7y7/z8)

B) (36y7/x4z8)

C) - (9y7/4x3z8)

D) - (9x7y7/4z8)

5) (a3b-3/2a-2b4)-5

A) (32b35/a5)

B) (32b35/a25)

C) (b35/32a25)

D) (a25/32b35)

6) (4x-3y9z)5(4x-1y8z)-6

A) (4/x9y3z)

B) (4x9z/y3)

C) (4z/x9y3)

D) (1/4x9y3z)

Add or subtract as indicated.

7) (8x4 - 9x3 + 8x2 + 7x + 4) + (-4x4 + 6x3 + 3x2 - 6x - 6)

A) 12x4 - 15x3 + 5x2 - x + 10

B) 4x4 - 3x3 + 11x2 + x - 2

C) 4x4 - 15x3 + 5x2 + x + 10

D) 12x4 - 15x3 + 5x2 - x - 2

8) (9y5 + 6y4 + 6y3 - 9) - (6y5 - 8y3 - 9y4 - 8)

A) 15y5 - 3y4 - 2y3 - 17

B) 3y5 - 3y4 - 2y3 - 17

C) 15y5 - 3y4 - 2y3 - 1

D) 3y5 + 15y4 + 14y3 - 1

9) Add.

4ab3 - 2a2b2 - 2b5

6ab3 - 6a2b2 - 2b5

A) 10ab3 - 8a2b2

B) 10ab3 - 8a2b2 - 2b5

C) 10ab3 - 8a2b2 + 4b5

D) 10ab3 - 8a2b2 - 4b5

10) Subtract.

3x8 + 9x7 - 5x6 + 1

8x8 - 6x7 + 9x6 + 2

A) 11x8 + 3x7 + 4x6 - 1

B) 11x8 + 3x7 + 4x6 + 3

C) -5x8 + 3x7 + 4x6 + 3

D) -5x8 + 15x7 - 14x6 - 1

Find the product.

11) (2x - 12)(x - 6)

A) 2x2 - 25x + 72

B) x2 - 24x - 25

C) 2x2 - 24x + 72

D) x2 + 72x - 24

12) (-5a + 7)(-5a - 2)

A) 25a2 + 25a - 14

B) 25a2 - 14

C) 25a2 + 45a - 14

D) 25a2 - 25a - 14

13) (12p + 5)(12p - 5)

A) 144p2 + 120p - 25

B) 144p2 - 120p - 25

C) p2 - 25

D) 144p2 - 25

14) (9y2 + 13)(9y2 - 13)

A) 81y2 - 169

B) 81y4 - 234y2 - 169

C) 81y4 - 169

D) 81y4 + 234y2 - 169

15) (10a3 + 9c)(10a3 - 9c)

A) 100a6 + 180a3c - 81c2

B) 100a6 - 180a3c - 81c2

C) 10a6 - 9c2

D) 100a6 - 81c2

16) (2m + 11)2

A) 4m2 + 121

B) 2m2 + 44m + 121

C) 2m2 + 121

D) 4m2 + 44m + 121

17) (2a - 7)2

A) 2a2 + 49

B) 4a2 + 49

C) 4a2 - 28a + 49

D) 2a2 - 28a + 49

18) (9x + 2y)2

A) 81x2 + 36xy + 4y2

B) 9x2 + 4y2

C) 81x2 + 4y2

D) 9x2 + 36xy + 4y2

19) (10x - 9y)2

A) 100x2 - 180xy + 81y2

B) 100x2 + 81y2

C) 10x2 + 81y2

D) 10x2 - 180xy + 81y2

20) (x + 3y)(x2 - 3xy + 9y2)

A) x3 - 27y3

B) x3 + 27y3

C) x3 + 6x2y2 + 6xy + 27y3

D) x3 - 6x2y2 - 6xy + 27y3

21) (7p - 1)(49p2 + 7p + 1)

A) 343p3 + 1

B) 343p3 + 56p2 - 1

C) 49p3 - 1

D) 343p3 - 1

Factor the polynomial completely.

22) 56x8y8 - 40x2y5 + 32x6y2

A) 8x2(7x6y8 - 5y5 + 4x4y2)

B) 8x2y2(7x6y6 - 5y3 + 4x4)

C) 8(7x8y8 - 5x2y5 + 4x6y2)

D) x2y2(56x6y6 - 40y3 + 32x4)

23) x2 - x - 30

A) (x + 1)(x - 11)

B) (x + 5)(x - 6)

C) (x - 6)(x + 6)

D) (x + 6)(x - 5)

24) 5x2 - 19x - 4

A) (5x + 4)(x - 1)

B) (5x + 1)(x - 4)

C) (5x - 4)(x + 1)

D) (5x - 1)(x + 4)

25) 36x2 - 25

A) (36x + 1)(x - 25)

B) (6x - 5)2

C) (6x + 5)(6x - 5)

D) (6x + 5)2

26) 81x2 - 144x + 64

A) (81x + 1)(x + 64)

B) (9x - 8)2

C) (9x - 8)(9x + 8)

D) (9x + 8)2

27) 25x2z - 40xyz + 16y2z

A) (5xz - 4yz)2

B) z(5x + 4y)2

C) z(5x - 4y)2

D) z(5x - 4y)(5x + 4y)

28) x3 - 1,000

A) (x - 10)(x2 + 10x + 100)

B) (x - 10)(x2 + 100)

C) (x + 10)(x2 - 10x + 100)

D) (x + 1,000)(x2 - 1)

29) 343c3 + 125

A) (7c - 5)(49c2 + 35c + 25)

B) (7c + 5)(49c2 - 35c + 25)

C) (7c + 5)(49c2 + 25)

D) (343c + 5)(c2 - 35c + 25)

30) 25p6 - 64

A) (5p3 + 8)2

B) (5p3 + 8)(5p3 - 8)

C) (5p3 - 8)2

D) 25p6 - 64

31) 8am + 48mb + 7an + 42nb

A) (8m + n)(a + 42b)

B) (8m + 7n)(a + 6b)

C) (8m + 6b)(a + 7n)

D) (a + 7n)(8m + 6b)

32) x4 - 81

A) Prime

B) (x + 3)2(x - 3)2

C) (x2 - 9)(x + 3)(x - 3)

D) (x2 + 9)(x + 3)(x - 3)

33) 4k2 - 12kp + 9p2 - 1

A) (2k - 3p - 1)2

B) (2k + 3p + 1)(2k + 3p - 1)

C) (2k - 3p + 1)(2k - 3p - 1)

D) (2k + 3p + 1)(2k - 3p - 1)

34) 6x2 - 21x - 12

A) 3(2x - 1)(x + 4)

B) (2x - 1)(3x + 12)

C) 3(2x + 1)(x - 4)

D) (6x - 3)(x + 4)

Solution
5 (1 Ratings )

Solved
Algebra 2 Months Ago 22 Views
This Question has Been Answered!

Related Answers
Unlimited Access Free
Explore More than 2 Million+
  • Textbook Solutions
  • Flashcards
  • Homework Answers
  • Documents
Signup for Instant Access!
Ask an Expert
Our Experts can answer your tough homework and study questions
12273 Algebra Questions Answered!
Post a Question