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alg 2 sem 2 quizziz 1

Total questions: 21

Worksheet time: 20mins

Name
Class
Date
1.

Simplify the following:

x2  x4x^2\ \cdot\ x^4

a)

x6x^6

b)

x8x^8

c)

x16x^{16}

d)

x2x^2

2.

Simplify the following:

3x2  2x43x^2\ ⋅\ 2x^4

a)

6x66x^6

b)

5x85x^8

c)

6x86x^8

d)

9x69x^6

3.

Simplify the following:

(x3)4(x^3)^4

a)

x12x^{12}

b)

x7x^7

c)

x1x^1

d)

x81x^{81}

4.

Simplify the following:

(5x5)2(5x^5)^2

a)

25x1025x^{10}

b)

25x725x^7

c)

10x1010x^{10}

d)

10x710x^7

5.

Simplify the following:

x12x2\frac{x^{12}}{x^2}

a)

x10x^{10}

b)

x6x^6

c)

x14x^{14}

d)

x24x^{24}

6.

Simplify the following:

10x152x3\frac{10x^{15}}{2x^3}

a)

5x125x^{12}

b)

5x55x^5

c)

5x185x^{18}

d)

8x128x^{12}

7.

Simplify the following (CAREFUL!!!):

x12x2\frac{x^{12}}{x^{-2}}

a)

x14x^{14}  

b)

x6x^{-6}  

c)

x10x^{10}  

d)

1x6\frac{1}{x^6}

8.

Simplify the following:

(2x4y7)3(2x^4y^7)^3

a)

6x7y106x^7y^{10}

b)

6xy326xy^{32}

c)

8x12y218x^{12}y^{21}

d)

8x7y108x^7y^{10}

9.

Simplify the following:

(x3x2)4\left(\frac{x^3}{x^2}\right)^4  

a)

x4x^4

b)

x20x^{20}

c)

x8x^8

d)

x10x^{10}

10.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
11.

Simplify: (2w3)5

a)

32w15

b)

10w15

c)

10w8

d)

32w8

12.

Simplify: (a5b-4c11)4

a)

a20b-16c44

b)

4a20b-16c44

c)

a9b0c15

d)

a9b1c15

e)

a20b-16c15

13.

Simplify: (3x-2y9)3

a)

27x-6y27

b)

9x-6y27

c)

9x1y12

d)

27x1y12

14.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.

Simplify the expression using exponential notation:

a2a4a^2\cdot a^4  

a)

a6a^6  

b)

a8a^8  

c)

a2a^2  

d)

a24a^{24}  

17.

Simplify the expression using exponential notation:

a6b7a4b6a^6b^7\cdot a^4b^6  

a)

a24b42a^{24}b^{42}  

b)

a10b13a^{10}b^{13}  

c)

a13b10a^{13}b^{10}  

d)

a3ba^3b  

18.

Simplify the expression using exponential notation:

24x2x3x42^4x^2x^3x^4  

a)

24x92^4x^9  

b)

2x92x^9  

c)

29x42^9x^4  

d)

24x242^4x^{24}  

19.
a)

a8

b)

a15

c)

a35

d)

a-2

20.
a)

a6b4

b)

a8b

c)

a8b4

d)

a2b4

21.
a)

a6

b)

a-60

c)

a4

d)

a-7