Compute these powers:
(a) 305
(b) 404
(c) 703
(d) 2003
(a) (30)5 = 30 × 30 × 30 × 30 × 30
= (3 × 10) × (3 × 10) × (3 × 10) × (3 × 10) × (3 × 10)
= (3 × 3 × 3 × 3 × 3) × (10 × 10 × 10 × 10 × 10)
= 35× 105
= 243 × 100000
= 24300000
(b) (40)4 = 40 × 40 × 40 × 40
= (4 × 10) × (4 × 10) × (4 × 10) × (4 × 10)
= (4 × 4 × 4 × 4) × (10 × 10 × 10 × 10)
= 44× 104
= 256 × 10000
= 2560000
(c) (70)3 = 70 × 70 × 70
= (7 × 10) × (7 × 10) × (7 × 10)
= (7 × 7 × 7) × (10 × 10 × 10)
= 73× 103
= 343 × 1000
= 343000
(d) (200)3 = 200 × 200 × 200
= (2 × 100) × (2 × 100) × (2 × 100)
= (2 × 2 × 2) × (100 × 100 × 100)
= (2 × 2 × 2) × (10 × 10 × 10 × 10 × 10 × 10)
= 23× 106
= 8 × 1000000
= 8000000