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Exponent Rules Quiz

Total questions: 20

Worksheet time: 1hrs 29mins

Name
Class
Date
1.
Simplify the expression: r6⋅r2⋅r3=
a)
r6+2+3
b)
r11
c)
11r
2.

Simplify 2m4 • 5m2

a)

10m6

b)

10m8

c)

7m6

d)

7m8

3.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
4.
Simplify: (2x3y5)3
a)
8x9y15
b)
6x9y15
c)
2x9y15
d)
8x6y8
5.

Which statement is correct?

a)

10 = 1

b)

01 = 1

c)

10 = 0

d)

00 = 1

6.

The quotient rule states that when dividing powers with the same base, you __________________________ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

7.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
8.

How would you simply (2x5)(6x4) ?

a)

MULTIPLY both the coefficients and MULTIPLY the exponents

b)

DIVIDE the coefficients then SUBTRACT the exponents

c)

Combine like terms

d)

MULTIPLY the coefficients then ADD exponents

9.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
10.

Simplify the following expression:

xy-7

a)

1/xy7

b)

x/y7

c)

x7/y

d)

x7y

11.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
12.

The product rule states that when multiplying powers with the same base __________________ the exponents.

a)

subtract

b)

add

c)

multiply

d)

divide

13.

Simplify the expression.


9 + (3xyz)0 - 10

a)

Cannot Be Simplified

b)

-1

c)

0

d)

2xyz

14.
a)

2x5

b)

2x6

c)

4x5

d)

4x6

15.
a)

8x3y3

b)

2x3y3

c)

1 / 4x3y3

d)

2y3 / x3

16.

Simplify.

 2a37c\frac{2a^{-3}}{7c}  

a)

 27a3c\frac{2}{7a^3c}  

b)

 7c2a3\frac{7c}{2a^3}  

c)

 2c7a3\frac{2c}{7a^3}  

d)

 14a3c14a^3c  

17.

 Simplify: 40x9y75x2y9Simplify:\ \frac{40x^9y^7}{5x^2y^9}  

a)

 8x7y2\frac{8x^7}{y^2}  

b)

 45x11y1645x^{11}y^{16}  

c)

 8x7y28x^7y^2  

d)

 8x11y168x^{11}y^{16}  

18.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
Simplify:  3x3 ⋅ 3x
a)
32x4
b)
3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x 
c)
9x4
d)
3x4
20.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70