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Activities 6

6.1)

Simplify the expressions as much as possible:

a)
x8 × y2 × x4 × x × y
b)
a × b × c × a2 × b3 × c4
c)
62 × t3 × 6 × t1

6.2)

Simplify the expressions as much as possible:

a)
(x × y)4
b)
(8x)2
c)
(2xy)2
d)
(xy)5(3x)3
e)
(103x)4
f)
(a × b2) 2 × a4

a)
(x × y)4
b)
(8x)2
c)
(2xy)2
d)
(xy)5(3x)3
e)
(103x)4
f)
(a × b2) 2 × a4

6.3)

Simplify the expressions as much as possible:

a)
(x3) 6
b)
(22) 2
c)
(5x3) 2
d)
(2a3) 5
e)
x2 × x1

a)
(x3) 6
b)
(22) 2
c)
(5x3) 2
d)
(2a3) 5
e)
x2 × x1

6.4)

Calculate if possible or write as a single power:

a)
56 × 58 × 52
b)
(x2) 1
c)
( (b2) 1) 2

6.5)

Simplify as much as possible:

a)
(8xy1) 2
b)
32x × (2x3) 4
c)
(8xy4) 2 × (4x5) 2
d)
(3y6) 3 × 10x2y12

a)
(8xy1) 2
b)
32x × (2x3) 4
c)
(8xy4) 2 × (4x5) 2
d)
(3y6) 3 × 10x2y12

6.6)

Simplify as much as possible:

a)
3n × 3n
b)
5n × 51n × 5
c)
43 × 4x
d)
(5x)k × (5x2) b

a)
3n × 3n
b)
5n × 51n × 5
c)
43 × 4x
d)
(5x)k × (5x2) b

You can find the solutions here.

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