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M9S2 Quiz 2 - Summer (Nita)

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
Write in exponential form
∜(3x)³
a)

3x³/

b)

(3x)³/

c)

(3x)⁴/³

d)

3x⁴/³

2.

Write as a radical expression y²/³

a)
2y³
b)
√y³
c)
∛y²
d)
3y²
3.
∜m3 is the same as which answer?
a)
m3/4
b)
m12
c)
m4/3
d)
m7
4.

Simplify

(Convert to a fractional exponent first.)

a)

3 x² y² z √3yz

b)

3 x y z √xy²

c)

3xyz

d)

Can't Simplify

5.
a)
A
b)
B
c)
C
d)
D
6.
Simplify the expression completely and write in radical form if necessary.
(x2/3)6
a)
∛x2
b)
∛x20
c)
x4
d)
√x3
7.
Simplify the expression completely and write it in radical form if necessary.
x3/4⋅x1/2
a)
x
b)

x∜x

c)
√x
d)
∜x2
8.
SIMPLIFY:
a)
A
b)
B
c)
C
d)
D
9.

a)

n7n^7

b)

n5n3n^5\sqrt[3]{n}

c)

nn4n^{ }\sqrt[4]{n}

10.

a)

k34\sqrt[4]{k^3}

b)

k3k2\frac{\sqrt[]{k^3}}{k^2}

c)

k4\sqrt[4]{k}

11.

which of the following is the index

a)

a

b)

b

c)

c

12.

We do not have to write the index if it is

a)

2

b)

1

c)

3

d)

0

13.

Re-write using rational exponents:

a)

a32a^{\frac{3}{2}}

b)

a23a^{\frac{2}{3}}

c)

a1.5a^{1.5}

d)

a23\frac{a^2}{3}

e)

1a23\frac{1}{a^{\frac{2}{3}}}

14.
a)

48

b)

12

c)

64

d)

512

e)

148\frac{1}{48}

15.

Which expression is equivalent: a43a^{-\frac{4}{3}}  

a)

a34a^{\frac{3}{4}}  

b)

a34-a^{\frac{3}{4}}  

c)

1a43\frac{1}{a^{\frac{4}{3}}}  

d)

1a34\frac{1}{a^{\frac{3}{4}}}  

16.

Evaluate:

a)

23\frac{2}{3}

b)

23-\frac{2}{3}

c)

32\frac{3}{2}

d)

32-\frac{3}{2}

e)

1681-\frac{16}{81}

17.
According to exponent rules, when we multiply the coefficients we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
a)
b)
c)
d)
e)
19.
Simplify 
a)
2x2yz2 ⁵√(xy3)
b)
2x2yz4 ⁵√(xy3)
c)
2xyz ⁵√(xy3z)
d)
2x2yz4 ⁵√(xy3z)
20.
What value of x satisfies this equation?
8x = 16
a)
2
b)
4/3
c)
3/4
d)
1/2