WorksheetsNS Lessons P - T Square, Cube Roots & Laws of Exponents
Total questions: 41
Worksheet time: 10hrs 15mins
Name
Class
Date
1.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
2.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
3.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
4.
(y9)-2
a)
y18
b)
y11
c)
d)
5.
Evaluate the expression using the quotient rule.
a)
34
b)
c)
3 -12
d)
332
6.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
7.
Make this negative exponent positive.
9-3
a)
93
b)
c)
d)
729
8.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
9.
Simplify:
(3t2)3
(3t2)3
a)
9t6
b)
9t5
c)
27t6
d)
27t5
10.
Simplify:
(x3)4
(x3)4
a)
x7
b)
x12
c)
x-1
d)
x3/4
11.
Simplify:
x5 ÷ x2
x5 ÷ x2
a)
x7
b)
x3
c)
x10
d)
x2.5
12.
Simplify:
(x3)(x2)
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
13.
Simplify
(-7y2)(5y4)
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
14.
Simplify (x14)3
a)
x17
b)
x42
c)
x11
d)
3x14
15.
b3b4b7b
a)
b
b)
b14
c)
b15
d)
b84
16.
(x-3)2
a)
x6
b)
c)
d)
x5
17.
According to exponent rules, when multiplying and the bases are the same. ________________ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
18.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
19.
(23)(22)
a)
64
b)
8
c)
32
d)
4
20.
130
a)
1
b)
2
c)
3
d)
4
21.
a)
m4
b)
m6
c)
m10
d)
1/m6
22.
a)
-6cd
b)
-6cd3
c)
6cd3
d)
6c3d5
23.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
24.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
1/8
25.
a)
a7
b)
a10
c)
a3
d)
a-3
26.
Which of the following would be made into this fraction?
a)
x3
b)
x-3
c)
x1
d)
x13
27.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
28.
Simplify (x14)3
a)
x17
b)
x42
c)
x11
d)
3x14
29.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
30.
(3x3y) (2x8y5)
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
31.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
32.
The √43 is between which two integers?
a)
2 & 3
b)
6 & 7
c)
4 & 5
d)
5 & 6
33.
√ 81
a)
8
b)
7
c)
10
d)
9
34.
–√25
a)
5
b)
-5
c)
±5
d)
None
35.
What is the value of 70?
a)
7
b)
0
c)
1
d)
70
36.
∛125
a)
3
b)
2
c)
4
d)
5
37.
∛8 =
a)
4
b)
3
c)
2
d)
512
38.
a)
8
b)
9
c)
10
d)
11
39.
a)
9/12
b)
3/4
c)
4/8
d)
5/4
40.
(3x4)5
a)
15x9
b)
243x20
c)
15x20
d)
243x9
41.
4z4⋅6z−6
a)
z224
b)
24z−24
c)
z210
d)
10z−24
100 %
