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Exponent Review

Total questions: 26

Worksheet time: 41mins

Name
Class
Date
1.

According to exponent rules, when we multiply LIKE BASES we _______ the exponents.

a)
add
b)
subtract
c)
multiply
d)
divide
2.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
3.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
4.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.

Simplify the following: (a3)7 \left(a^3\right)^{7\ }  

a)

a10a^{10}  

b)

a21a^{21}  

c)

a4a^4  

d)

1a4\frac{1}{a^4}  

6.
(x⁴)²
a)
x⁸
b)
x⁶
c)
d)
8
7.

According to exponent rules, when we divide LIKE BASES we _______ the exponents.

a)
add
b)
subtract
c)
multiply
d)
divide
8.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
9.
a)
b)
c)
d)
10.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
11.
Simplify:    (6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
12.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
13.

(2x7)3

a)

6x21

b)

8x21

c)

6x10

d)

8x10

14.

Simplify

a)

d2d^{-2}

b)

d2d^2

c)

d36d^{36}

d)

d18 d^{18\ }

15.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

16.

Find the missing exponent (?) in the expression below. 

(2z?)3=8z15\left(2z^?\right)^3=8z^{15}  

a)

2

b)

12

c)

5

d)

9

17.

Simplify

2x3 ∗ 4x5

a)

8x8

b)

6x8

c)

6x15

d)

8x15

18.

x20 . x10

a)

x30

b)

x200

c)

2x30

d)

x10

19.

Simplify the following expression:


(x5)4

a)

x9

b)

x20

c)

x

d)

x54

20.

Simplify the following expression:


(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

21.

Simplify.

a)
b)
c)
d)
22.

Simplify 64x6b93\sqrt[3]{64x^6b^9}  

a)

8x3b4b8x^3b^4\sqrt[]{b}  

b)

8x2b38x^2b^3  

c)

4xy24xy^2  

d)

4x2b34x^2b^3  

23.

When your exponent is a fraction, the numerator(top) is the __________.

a)

Root

b)

Power

24.

When your exponent is a fraction, the denominator (bottom) is the ___________.

a)

Root

b)

Power

25.
Re-write the expression in radical form.
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
26.
Write the expression in exponential form:
∛x2
a)
x3/2
b)
x2/3
c)
x1/2
d)
x1/3