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Worksheets

Zero & Negative Exponents

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Simplify the expression. Evaluate where applicable.

 32⋅30⋅323^2\cdot3^0\cdot3^2  

a)

 18418^4  

b)

 11  

c)

 3133^{13}  

d)

 8181  

2.

Simplify the expression. Evaluate where applicable.

 1.2⋅103−2⋅102−1⋅1031.2\cdot10^3-2\cdot10^2-1\cdot10^3  

a)

 00  

b)

 −1.8⋅108-1.8\cdot10^8  

c)

 −1.8⋅102-1.8\cdot10^2  

d)

 11  

3.

Simplify the expression. Evaluate where applicable.

 (23)2⋅(23)60\frac{\left(\frac{2}{3}\right)^2\cdot\left(\frac{2}{3}\right)}{6^0}  

a)

 827\frac{8}{27}  

b)

0

c)

 (23)4\left(\frac{2}{3}\right)^4  

d)

1

4.

Simplify the expression. Evaluate where applicable.

 f8⋅f2f0⋅f4\frac{f^8\cdot f^2}{f^0\cdot f^4}  

a)

 f14f^{14}  

b)

 f6f^6  

c)

0

d)

 f16f^{16}  

5.

Simplify the expression. Evaluate where applicable.

 (w4÷w0)⋅(y5÷y4)\left(w^4\div w^0\right)\cdot\left(y^5\div y^4\right)  

a)

 w4y9w^4y^9  

b)

 y20y^{20}  

c)

 w4yw^4y  

d)

0

6.

Simplify the expression. Evaluate where applicable.

 (45)2⋅(58)2(79)0\frac{\left(\frac{4}{5}\right)^2\cdot\left(\frac{5}{8}\right)^2}{\left(\frac{7}{9}\right)^0}  

a)

 (2040)4\left(\frac{20}{40}\right)^4  

b)

 12\frac{1}{2}  

c)

 14\frac{1}{4}  

d)

0

7.

Simplify the expression. Evaluate where applicable.

 1002⋅1003⋅100−5100^2\cdot100^3\cdot100^{-5}  

a)

 100−30100^{-30}  

b)

 11  

c)

 00  

d)

 100100  

8.

Simplify the expression. Evaluate where applicable.

 rr−2\frac{r}{r^{-2}}  

a)

0

b)

 rr  

c)

 r3r^3  

d)

 1r\frac{1}{r^{ }}  

9.

Simplify the expression. Evaluate where applicable.

 3d−7÷6d−43d^{-7}\div6d^{-4}  

a)

1

b)

0

c)

 12d3\frac{1}{2d^3}  

d)

 9d−119d^{-11}  

10.

Simplify the expression. Evaluate where applicable.

 9x−5⋅(36x6÷4x2)9x^{-5}\cdot\left(36x^6\div4x^2\right)  

a)

 00  

b)

 81x81x^{ }  

c)

 81x\frac{81}{x}  

d)

 181x\frac{1}{81x}