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Practice Quiz for Midterm

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

Simplify.

37×333^7\times3^3  

a)

9109^{10}  

b)

3213^{21}  

c)

3103^{10}  

2.

Simplify.

(49)2\left(4^9\right)^2  

a)

4114^{11}  

b)

474^7  

c)

4184^{18}  

3.

Simplify the following expression with only positive exponents:

x6y3x4y2\frac{x^6y^{-3}}{x^{-4}y^2}


a)

x2y\frac{x^2}{y}  

b)

x10y5\frac{x^{10}}{y^5}  

c)

x10y5x^{10}y^5  

d)

x2y5x^2y^5  

4.

Simplify the following expression:

4x0-4x^0  

a)

4-4  

b)

4x-4x  

c)

11  

d)

1-1  

5.

Simplify the following expression:

7x828x3\frac{7x^8}{28x^3}  

a)

4x54x^5  

b)

35x1135x^{11}  

c)

x54\frac{x^5}{4}  

d)

21x5-21x^5  

6.

Simplify the following:

(3a2b3c4)(5a3b5c7)\left(3a^2b^3c^4\right)\left(5a^{-3}b^5c^{-7}\right)  

a)

15a5b8c1115a^5b^8c^{11}  

b)

2b8ac3\frac{2b^8}{ac^3}  

c)

8ab2c3\frac{8ab^2}{c^3}  

d)

15b8ac3\frac{15b^8}{ac^3}  

7.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
8.

Rewrite the expression in radical form.
   x72x^{\frac{7}{2}}  

a)

x7\sqrt{x^7}

b)

7x27\sqrt{x^2}  

c)

7x2

d)

∛x7

9.
a)
A
b)
B
c)
C
d)
D
10.

Rationalize the denominator:

a)

132\frac{1-\sqrt{3}}{-2}

b)

331+3\frac{3-\sqrt{3}}{1+\sqrt{3}}

c)

3332\frac{3-3\sqrt{3}}{-2}