Question

Compute these powers:

(a) 30⁵

(b) 40⁴

(c) 70³

(d) 200³

Answer 1

(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