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INDICES F3 KSSM

Total questions: 10

Worksheet time: 38mins

Name
Class
Date
1.

Simplify

 (2m2 n4)3 ×(3mn4)212m7n12\frac{\left(2m^{2\ }n^4\right)^3\ \times\left(3mn^4\right)^2}{12m^7n^{12}}  

a)

 A     6mn8A\ \ \ \ \ 6mn^8  

b)

 B     12mn8B\ \ \ \ \ \frac{1}{2}mn^8  

c)

 C     6m8nC\ \ \ \ \ 6m^8n  

d)

 D     12m8nD\ \ \ \ \ \frac{1}{2}m^8n  

2.

Simplify

 24d3 e5 ×(3d3 e4)2(d5 e6) ×(6de2)3\frac{24d^{3\ }e^5\ \times\left(3d^{3\ }e^4\right)^2}{\left(d^{5\ }e^6\right)\ \times\left(6de^2\right)^3}  

a)

 A     d5e2A\ \ \ \ \ d^5e^2  

b)

 B     12deB\ \ \ \ \ 12de  

c)

 C     deC\ \ \ \ \ de  

d)

 D     12d5e2D\ \ \ \ \ 12d^5e^2  

3.

Simplify

 3m2n4 ×(mn3)29m3n5\frac{3m^2n^4\ \times\left(mn^3\right)^{-2}}{9m^3n^5}  

a)

 A     3m3n7A\ \ \ \ \ 3m^3n^7  

b)

 B     13m3n7B\ \ \ \ \ \frac{1}{3m^3n^7}  

c)

 C    3m7n3C\ \ \ \ 3m^7n^3  

d)

 D     13m7n3D\ \ \ \ \ \frac{1}{3m^7n^3}  

4.

Simplify

 (23×32)3(2 ×34)5\frac{\left(2^3\times3^2\right)^3}{\left(2\ \times3^4\right)^5}  

a)

 A     24 × 314A\ \ \ \ \ 2^{4\ }\times\ 3^{14}  

b)

 B     21434B\ \ \ \ \ \frac{2^{14}}{3^4}  

c)

 C    24314C\ \ \ \ \frac{2^4}{3^{14}}  

d)

 D     124 ×314D\ \ \ \ \ \frac{1}{2^{4\ }\times3^{14}}  

5.

Simplify

 (52)5(23 )2× (54)2\frac{\left(5^2\right)^5}{\left(2^3\ \right)^{-2}\times\ \left(5^4\right)^2}  

a)

 A     26 × 52A\ \ \ \ \ 2^{6\ }\times\ 5^2  

b)

 B     2652B\ \ \ \ \ \frac{2^6}{5^2}  

c)

 C    2256C\ \ \ \ \frac{2^2}{5^6}  

d)

 D     126 ×52D\ \ \ \ \ \frac{1}{2^{6\ }\times5^2}  

6.

Which of the following is

 CORRECTCORRECT  

a)

 A     20 = 2A\ \ \ \ \ 2^0\ =\ 2  

b)

 B     21 =1B\ \ \ \ \ 2^1\ =1  

c)

 C     y5 =y5C\ \ \ \ \ y^{-5\ }=\frac{y}{5}  

d)

 D     (58)3 =(85)3D\ \ \ \ \ \left(\frac{5}{8}\right)^{-3}\ =\left(\frac{8}{5}\right)^3  

7.

Which of the following is

CORRECTCORRECT

a)

A ( 24 )5 = (42)5A\ \ \ \ \left(\ 2^4\ \right)^5\ =\ \left(4^2\right)^5

b)

B ( 33 )7=(272 )4B\ \ \ \ \left(\ 3^3\ \right)^7=\left(27^{2\ }\right)^4

c)

C (52)5=(1252)3C\ \ \ \ \left(5^2\right)^5=\left(125^2\right)^3

d)

D (72 )4 =(492)3D\ \ \ \ \left(7^2\ \right)^4\ =\left(49^2\right)^3

8.

Simplify

 (2w2x3)4\left(2w^2x^3\right)^4  

a)

 A     8w8x12A\ \ \ \ \ 8w^8x^{12}  

b)

 B     16w8x12B\ \ \ \ \ 16w^8x^{12}  

c)

 C     8w6x7C\ \ \ \ \ 8w^6x^7  

d)

 D     16w6x7D\ \ \ \ \ 16w^6x^7  

9.

Simplify

 (113 ×95)3\left(11^3\ \times9^5\right)^3  

a)

 A     113 ×95A\ \ \ \ \ 11^{3\ }\times9^5  

b)

 B     11 × 92B\ \ \ \ \ 11\ \times\ 9^2  

c)

 C     116 ×98C\ \ \ \ \ 11^6\ \times9^8  

d)

 D     119 ×915D\ \ \ \ \ 11^9\ \times9^{15}  

10.

Simplify

 (h3k2)4(hk)2\frac{\left(h^3k^2\right)^4}{\left(hk\right)^2}  

a)

 A     h10 k6A\ \ \ \ \ h^{10\ }k^6  

b)

 B     h11 k6B\ \ \ \ \ h^{11}\ k^6  

c)

 C     h5k4C\ \ \ \ \ h^5k^4  

d)

 D     h6k4D\ \ \ \ \ h^6k^4