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Activities 7


7.1)

Calculate and write as power(s):

a)
1215 1214
b)
x7 x4 x x2 x3
c)
23 33 35 22
d)
c c2 c3 c

a)
1215 1214
b)
x7 x4 x x2 x3
c)
23 33 35 22
d)
c c2 c3 c

7.2)

Calculate and write as powers if possible:

a)
a2 (a4) 2 (a2)3
b)
a2 b6 a5 a4 b3
c)
(a b)4 a3 a2 b3
d)
a0 a4 (a3) 2 a5 b0
e)
a12 a3 a7 a4
f)
a3 (a2) 3 a5
g)
(a b)2 a5 a b4
h)
(3a)3 (a2) 2 a2

7.3)

Simplify as much as possible:

a)
(x y )6
b)
(1 3) 3
c)
(5x 2 ) 2
d)
(3x 2y )3
e)
(2 7) 2
f)
( 1 4a)3
g)
(2g 3p)4
h)
( 5 10) 4

a)
(x y )6
b)
(1 3) 3
c)
(5x 2 ) 2
d)
(3x 2y )3
e)
(2 7) 2
f)
( 1 4a)3
g)
(2g 3p)4
h)
( 5 10) 4

7.4)

Simplify as much as possible:

a)
( x4 2y5 ) 3
b)
x2 3y x
c)
x4 y7 (x2 y3 ) 2
d)
1 12n3 (6x2) 2 b9

7.5)

Simplify as much as possible:

a)
45 46
b)
(2x 3 ) 2
c)
(3a)3 12
d)
d (2)2
e)
( 42 (9k)2 ) 1

a)
45 46
b)
(2x 3 ) 2
c)
(3a)3 12
d)
d (2)2
e)
( 42 (9k)2 ) 1

7.6)

Simplify as much as possible:

a)
6x5 (xy2) 1 3xy4
b)
(8x y4 ) 2 (4x5) 2
c)
(3y6) 3 10x2 y12
d)
5 4x3 (5x)4
e)
(6x)4 9a5 (3a3) 2 36x4
f)
81a (bc3) 3x (ab)5

7.7)

Simplify as much as possible:

a)
6x 6y
b)
74 73 7cd
c)
(5x)k ( 5 x2 ) b

a)
6x 6y
b)
74 73 7cd
c)
(5x)k ( 5 x2 ) b

You can find the solutions here.

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Example with Fractions
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