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Use the properties of exponents to simplify the expression. Write with positive exponents.

Question : Use the properties of exponents to simplify the expression. Write with positive exponents. : 2151830

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

Use the properties of exponents to simplify the expression. Write with positive exponents.

1) x1/8x7/8

A) x

B) x7/8

C) (1/x)

D) x7/64

2) (y3/4/y1/4)

A) y

B) y1/2

C) y3/4

D) (1/y)

3) (b7)2/7

A) b2

B) b1/2

C) b2/49

D) b9/7

4) z-2/5z3/5

A) z6/5

B) z -1/5

C) z1/5

D) z5/6

5) (r1/3s1/3)2

A) r2/3s2/3

B) r1/6s1/6

C) r1/9s1/9

D) r2s2

6) y5/9(y2/9 - 4y3/9)

A) y10/81 - 4y15/81

B) y7/9 - 4y8/9

C) y3/9 - 4y2/9

D) y5/2 - 4y5/3

7) (-8p3/5 - 9p4/5)(-8p3/5 - 9p4/5)

A) 64p6/5 + 144p7/5 + 81p8/5

B) -16p6/5 + 72p-18/5 - 18p8/5

C) 64p9/25 + 7p

D) 64p6/5 + 72p7/5 + 81p8/5

8) (x1/3x1/4/x -1/7)

A) x37/84

B) (1/x61/84)

C) x61/84

D) (1/x37/84)

9) ((2x1/4)7/x-2/7)

A) 2x41/28

B) 128x57/28

C) 128x41/28

D) 2x57/28

Factor the given factor from the expression.

10) x1/3; x13/3 + x1/3

A) x1/3(x4 + x)

B) x1/3(x13 + 1)

C) x1/3(x13 + x)

D) x1/3(x4 + 1)

11) x2/5; x4/5 + 3x2/5

A) x1/5(x2/5 + 3)

B) x2/5(x2/5 + 3)

C) x2/5(x-2/5 + 3)

D) x1/5(x4/5 + 3)

12) x-1/7; x-1/7 + x1/7

A) x1/7(1 + x2/7)

B) 0

C) x-1/7(1 + x2/7)

D) 1

13) x-4/5; x6/5 + x -4/5

A) x-4/5(x2 + x)

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

C) x-4/5(x2 + 1)

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

14) s-5/7; 15s1/7 - 3s-5/7

A) s-5/7(15s6/7 - 3s)

B) s-5/7(15s6/7 - 3)

C) s1/7(15s6/7 - 32/1)

D) s1/3(15 - 3s2/1)

15) m-1/2; 8m9/4 - 3m-1/2

A) 3 m-1/4(8m11/4 - 1)

B) m-1/2(8m9/4 + 3)

C) m-1/2(24m11/4 - 8)

D) m-1/2(8m11/4 - 3)

Use rational exponents to simplify the following.

16) 56Ö(x8)

A) x1/7

B) x1/8

C) x7

D) x1/56

17) 4Ö(16x2)

A) 2x1/4

B) 16x1/2

C) 2x2

D) 2x1/2

18) 16Ö(x + 7)4

A) x4 + 74

B) x1/4 + 71/4

C) (x + 7)1/4

D) (x + 7)4

19) 21Ö(y14z18)

A) y2/3z6/7

B) y2/3z7/6

C) y3/2z7/6

D) y3/2z6/7

20) 6Ö(y4z6)

A) y3/3z3/2

B) y3/2z

C) y2/3

D) y2/3z

Use rational exponents to write as a single radical expression.

21) 7Ö(x)√(x)

A) √(x9)

B) x9

C) 7Ö(x2)

D) 14Ö(x9)

22) 9Ö(x)⋅3Ö(x2)

A) √(x7)

B) x21

C) 9Ö(x3)

D) 9Ö(x7)

23) 5Ö(4)√(2)

A) 5Ö(8)

B) 10Ö(128)

C) 10Ö(8)

D) 10Ö(512)

24) 5Ö(2)⋅3Ö(3)

A) 15Ö(1944)

B) 15Ö(6)

C) 5Ö(6)

D) 15Ö(486)

25) 5Ö(3)⋅3Ö(x)

A) 5Ö(3x)

B) 15Ö(3x5)

C) 15Ö(3x)

D) 15Ö(27x5)

26) 7Ö(y)/8Ö(y)

A) 8Ö(y7)

B) (1/√(y))

C) 56Ö(y)

D) y

27) 5Ö(y2)/6Ö(y)

A) 30Ö(y7)

B) 5Ö(y)

C) 30Ö(y)

D) √(y)

Solution
5 (1 Ratings )

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Algebra 2 Months Ago 24 Views
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