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Worksheets

RULES OF EXPONENTS

Total questions: 11

Worksheet time: 23mins

Name
Class
Date
1.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
2.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
3.
a)
b)
c)
d)
4.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

5.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
6.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
7.
Simplify
x4⋅x3⋅x
a)
x8
b)
x12
c)
x7
d)
x10
8.

6456^{\frac{4}{5}}  can be written as ......

a)

645\sqrt[5]{6^4}  

b)

654\sqrt[4]{6^5}  

c)

625\sqrt[]{6^{\frac{2}{5}}}  

9.

Which of the following has a negative value?

a)

(−5)8\left(-5\right)^8  

b)

(−72)9\left(-7^2\right)^9  

c)

(−3)−4\left(-3\right)^{-4}  

d)

5135^{\frac{1}{3}}  

10.
Simplify.
a)
y5
b)
y15
c)
1/y2
d)
1/y5
11.

Simplify (2xy3)2 \left(\frac{2x}{y^3}\right)^2\  

a)

4x2y5\frac{4x^2}{y^5}  

b)

2x2y6\frac{2x^2}{y^6}  

c)

4x2y6\frac{4x^2}{y^6}  

d)

2x2y3\frac{2x^2}{y^3}