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All Power Rules Review

Total questions: 30

Worksheet time: 4hrs 38mins

Name
Class
Date
1.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
2.
How do you solve:
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
3.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
4.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
5.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
6.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
7.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
8.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
9.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
10.
Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
11.

Simplify (-4x)0

a)

-4

b)

4x

c)

-1

d)

1

12.

Simplify -90

a)

1

b)

-1

c)

-9

d)

9

13.
Simplify (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
14.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
15.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
16.
Simplify
(-x)(-x)(-x)(-x)(-x)(-x)
a)
6
b)
6x6
c)
1/x6
d)
x6
17.
(x-4)3
a)
x12
b)
x-1
c)
1/x-1
d)
1/x12
18.
True or False?
a)
True
b)
False
19.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
20.

3.) Simplify
 45x6y25x4y9\frac{45x^6y^2}{5x^4y^9}  

a)

 9x2y7\frac{9x^2}{y^7}  

b)

40x2y7

c)

9x2y7

d)

9x10y11

21.
a)
5z5
b)
5/z5
c)
1/5z5
d)
1/5z-5
22.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
23.
Simplify:
a)
x4
b)
x8
c)
x20
d)
x2
24.
Simplify:
a)
9a6
b)
32a4
c)
8a4
d)
8a6
25.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
26.

(uv2)-5

a)

-5uv-10

b)

u5v10u^{-5}v^{-10}

c)

1u5v10\frac{1}{u^5v^{10}}

d)

1uv10\frac{1}{uv^{10}}

27.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
28.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
29.
Which expression is equivalent to  
a)
(a6c6)/b3
b)
0
c)
1
d)
a5b3c3
30.
How would you change this to a positive exponent:
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x