Telangana SCERT Solution Class VIII (8) Math Chapter 4 Exponents and Powers Exercise 4.1
(1) Simplify and give reasons
(i) 4-3
(ii) (-2)7
(iii) (3/4)-3
(iv) (-3)-4
(2) Simplify the following:
(i) (1/2)4 × (1/2)5 × (1/2)6
(ii) (-2)7 × (-2)3 × (-2)4
(iii) 44 × (5/4)4
(iv) (5-4/5-6) × 53
(v) (-3)4 × 74
(3) Simplify:
(i) 22 × 32/2-2 × 3-1
(ii) (4-1 × 3-1) ÷ 6-1
(4) Simplify and give reasons:
(i) (40 + 5-1) × 52 × 1/3
(ii) (1/2)-3 × (1/4)-3 × (1/5)-3
(iii) (2-1 + 3-1 + 4-1) × 3/4
(iv) 3-2/3 × (30 – 3-1)
(v) 1 + 2-1 + 3-1 + 40
(vi) [(3/2)-2]2
(5) Simplify and give reasons (i) [(32 – 22) ÷ 1/5]2
(ii) ((52)3 × 54) ÷ 56
(6) Find the value of ‘n’ in each of the following:
(i) (2/3)3 × (2/3)5 = (2/3)n-2
(ii) (-3)n+1 × (-3)5 = (-3)-4
(iii) 72n+1 ÷ 49 = 73
(7) Find ‘x’ if 2-3 = 1/2x
(8) Simplify [(3/4)-2 ÷ (4/5)-3] × (3/5)-2
(9) If m = 3 and n = 2 find the value of
(i) 9m2 – 10n3
(ii) 2m2 n2
(iii) 2m3 + 3n2 – 5m2n
(iv) mn – nm
(10) Simplify and give reasons (4/7)-5 × (7/4)-7