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5-18 Homework: Negative and Zero Exponents Honors

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

Simplify: Use only positive exponents.

a)

−116-\frac{1}{16}

b)

116\frac{1}{16}

c)

-16

d)

16

2.

Simplify: Use only positive exponents.

a)

−127-\frac{1}{27}

b)

127\frac{1}{27}

c)

19\frac{1}{9}

d)

−19-\frac{1}{9}

3.

Rewrite using a positive exponent.

g-7

a)

1g7\frac{1}{g^7}

b)

g7g^7

c)

1g−7\frac{1}{g^{-7}}

d)

−g7-g^7

4.

Simplify: Use only positive exponents.

a)

15x3\frac{1}{5x^3}

b)

1x5\frac{1}{x^5}

c)

−5x3\frac{-5}{x^3}

d)

5x3\frac{5}{x^3}

5.

Simplify: (-9)0

a)

-9

b)

-1

c)

1

d)

9

6.

Simplify -4x0

a)

-4x

b)

-4

c)

1

d)

-1

7.

Simplify: Use only positive exponents.

a)

−1125-\frac{1}{125}

b)

125

c)

-125

d)

1125\frac{1}{125}

8.

Simplify: Use only positive exponents.

a)

7a5b3\frac{7a^5}{b^3}

b)

b37a5\frac{b^3}{7a^5}

c)

7bb3a5\frac{7b}{b^3a^5}

d)

7b3a5\frac{7b^3}{a^5}

9.

Simplify: Use only positive exponents.

a)

a3b24\frac{a^3b^2}{4}

b)

4a3b2\frac{4a^3}{b^2}

c)

4a3b2\frac{4}{a^3b^2}

d)

14a3b2\frac{1}{4a^3b^2}

10.

Simplify: Use only positive exponents.

a)

 27x6\frac{27}{x^6}  

b)

 9x6\frac{9}{x^6}  

c)

 27x627x^6  

d)

 27x−627x^{-6}  

11.

Simplify: Use positive exponents only.

s-5 ⋅ s-2

a)

s3s^3

b)

s7s^7

c)

1s7\frac{1}{s^7}

d)

1s3\frac{1}{s^3}

12.

Simplify using positive exponents only.   (4a−2b)(2a−5b−3)\left(4a^{-2}b\right)\left(2a^{-5}b^{-3}\right)  

a)

 8a7b28a^7b^2  

b)

 8a7b2\frac{8}{a^7b^2}  

c)

 8a3b4\frac{8}{a^3b^4}  

d)

 8a7b2\frac{8a^7}{b^2}  

13.

Simplify.

a)

x7x^7

b)

1x3\frac{1}{x^3}

c)

x3x^3

d)

1x7\frac{1}{x^7}

14.

Simplify: Use positive exponents only.

a)

x4x^4

b)

x14x^{14}

c)

1x4\frac{1}{x^4}

d)

1x14\frac{1}{x^{14}}

15.

Simplify: Use positive exponents only. x−5y−2x−3y−3\frac{x^{-5}y^{-2}}{x^{-3}y^{-3}}  

a)

 x8y5x^8y^5  

b)

 yx2\frac{y}{x^2}  

c)

 x2yx^2y  

d)

 x8y5\frac{x^8}{y^5}  

16.

What did Ms. Siegel drink during the video?

a)

coffee

b)

water

c)

orange juice

d)

diet coke