Indices Worksheet #01, Algebra Revision From Gcse Maths Tutor

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Algebra - indices GCSE Maths Tutor

indices www.gcsemathstutor.com

question sheet A-I-01 [email protected]

1. multiply out (a) a 3 × a 2

(b) b3 × b 4

(c) a 2b 2 × a 3b3

(d) ab3 × a 3b

(e) b3 (ab 4 )

(f) a 2 (a 2b3 )

(g) a 2b3 (a 2b 4 − ab)

(h) ab(a 2b + ab 2 )

(i) a 2bc 3 (a 3b − c)

a 3b 4 (a) ab

x2 y3 (b) xy

a 4b 2 c 3 (c) 2 2 a bc

a 2b − ab 2 (d) ab

x3 y 2 + x 2 y 4 (e) xy

a 2b3c − abc 3 (f) abc

a 2b3 (a 3b 2 ) (g) a 4b

x3 y 2 ( xy 2 ) (h) x4 y

a 3b( x3 y 2 ) (i) a2 x2 y

(a) (a 2 )3

(b) ( x3 ) 4

(c) ( y 5 ) 2

(d) (ab) 2

(e) ( xy )3

(f) (a 2b)3

(g) (a 3b 2 )5

(h) ( x 2 y 4 ) 2

(i) ( x5 y 3 z 2 ) 4

2. simplify

3. simplify

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indices

Algebra - indices GCSE Maths Tutor

answer sheet A-I-01

www.gcsemathstutor.com

[email protected]

1. 5

(b) b

4 4

(e) ab

(a) a

(d) a b

(g) a b − a b 4 7

3 4

7

5 5

(c) a b 7

4 3

(f) a b

(h) a b + a b 3 2

2 3

(i) a b c − a bc 5 2 3

2

4

2. 2 3

2

2

(a) a b

(b) xy

(d) a − b

(e) x y + xy

(g) ab

4

(c) a bc

2

(h) y

3

3

(f) ab − c 2

2

(i) abxy

3. (a) a

6

12

(b) x

(c) y

2 2

(e) x y

15 10

(h) x y

(d) a b

(g) a b

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3

3

4

8

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10

6 3

(f) a b

20

12 8

(i) x y z

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Algebra - indices GCSE Maths Tutor

GCSE Maths Tutor

indices www.gcsemathstutor.com

www.gcsemathstutor.com

question sheet A-I-01 [email protected]

[email protected]

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