Index Notation Worksheet 2 Week One PDF

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Index Notation Worksheet 2 Week One...

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Name ………………………………………

Date ……………..

Index Notation - II 1.

Work out, leaving your answers in fractions where appropriate: (a)

32 =

(b)

23 =

(c)

5 1 =

(d)

33 =

(e)

4 2 =

(f)

7 1 =

(g)

42 =

(h)

92 =

(i)

83 =

(j)

643 =

(k)

642 =

(l)

27 3 =

(m)

4

(n)

8

(o)

27

(p)

9

(q)

81

(r)

125

(c)

1=

1

1

1

1

2.

2

= =

1 3

=

14

=

Express these numbers as powers of 16: (a) 4= (b) 2= (d)

3.

2

1

1

1

1

1 = 4

(e)

1 = 2

=

1 3

=

(f)

1 = 256

(c)

52  5 2 = 32  33 =

Express these as single powers of 2, 3 or 5: 1

1

3

2

(a)

22  2 4 =

(b)

33  3 3 =

(d)

35  310 =

(e)

24  2 2 =

(f)

(g)

52  5 2 =

(h)

37  3 3 =

(i)

3

1

(j)

3

1

32  3 2

=

1

(k)

2 2  25 1

4

1

53  53

=

2

=

22

(l)

52  53

34

1

1

1

5

1

4.

 13

5

24  2 4 2

3 4

1

=

4 2

Express these as single powers of x: 3

1

(a)

x 4  x2 =

(d)

x3  x

(g)

x7

1

2 3

(b)

x 3  x 6=

(e)

x 2  x 2 =

(c)

x 2  x2 =

(f)

x2  x2=

(i)

x 2  x 2 = x2

(l)

x 3 x 3 = x 2  x 3

1

=

1

3

1

(j)

x

x 1

3

5

=

4

x3

=



5

3

(h)

x  x

(k)

x2  x2

2

x3

4 3

3

2 3

=

2

=

x4

4

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