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INDICES
Q.1. Simplify the following. Leave your answer in the index form.
(i) 22 x 22
(ii) 32 x 33
(iii) 52 x 52 x 53
(iv) 75 x 72 x 76
(v) 1312 x 1312 x 132
Q.2. Simplify the following. Leave your answer in the index form.
(i) (53)2
(ii) (23)5
(iii) (36)7
(iv) (135)7
(v) (137)5
Q.3. Simplify the following. Leave your answer in the index form.
(i)
26
23
(ii)
137135
(iii)
7975
(iv)
6562
(v)
1113 116
Q.4. Write the following in a form that has a positive index.
(i) 2-1
(ii) 3-2
(iii) 5-7
(iv) 11-6
(v) 7-5
Q.6. Simplify the following. Leave your answer in the index form.
(i) 26 x 2-4
(ii) 24 x 2-6
(iii) 3-6 x 3-3
(iv) 77 x 7-8
(v) 13-7 x 13-6
Q.7. Simplify the following. Leave your answer in the index form.
(i) (2 x 32)5
(ii) (55 x 76)2
(iii) (112 x 74)4
(iv) (2-2 x 32)5
(v) (32 x 5-2)3
Q.8. Show that:
(i) (22 x 23)2 = 210
(ii) (32 x 3-3)2 = 1/9
(iii)
(35 35) = 1
(iv)
(710 710)7 = 1
(v) (138 x 13-15 x 137)5 = 1
INDICES 2
Q.1. Simplify the following. Leave your answer in the index form.
(i) m2 x m2
(ii) p2 x p3
(iii) q2 x q2 x q3
(iv) t5 x t2 x t6
(v) b12 x b12 x b2
Q.2. Simplify the following. Leave your answer in the index form.
(i) (z3)2
(ii) (y3)5
(iii) (p6)7
(iv) (P5)7
(v) (P7)5
Q.3. Simplify the following. Leave your answer in the index form.
(i)
c6c3
(ii)
s7s5
(iii)
d9d5
(iv)
k5 k2
(v)
r13r6
Q.4. Write the following in a form that has a positive index.
(i) x-1
(ii) g-2
(iii) K-7
(iv) a-6
(v) --5
Q.6. Simplify the following. Leave your answer in the index form.
(i) g6 x g-4
(ii) w4 x w-6
(iii) z-6 x z-3
(iv) Q7 x Q-8
(v) W-7 x W-6
Q.7. Simplify the following. Leave your answer in the index form.
(i) (a x b2)5
(ii) (P5 x Q6)2
(iii) (p-2 x q4)4
(iv) (M-2 x N2)5
(v) (L2 x B-2)3
Q.8. Show that:
(i) (D2 x D3)2 = D10
(ii) (g2 x g-3)2 = 1/g2
(iii)
(W5W5)
= 1
(iv)
(e10
e10)7
= 1
(v) (d8 x d-15 x d7)5 = 1