(a) Simplify 5 × 53.
The product law: am × an = am + n
5 × 53 | = | 51 × 53 |
= | 51 + 3 | |
= | 54 | |
= | 5 × 5 × 5 × 5 | |
= | 625 |
(b) Simplify (a– 4b2) × (a2b2).
(a– 4b2) × (a2b2) | = | (a– 4a2) × (b2b2) |
= | (a– 4 + 2) × (b2 + 2) | |
= | a– 2b4 |
5(y9 ÷ y5) | = | |
= | 5(y9 – 5) | |
= | 5y4 |
(y2)6 | = | y2 × 6 |
= | y12 |
(2 × 3)4 | = | (2)4 × (3)4 |
= | (2 × 2 × 2 × 2) (3 × 3 × 3 × 3) | |
= | 16 × 81 | |
= | 1296 |
(3m8n3)1 ÷ (3m8n3)0 | = | 3m8n3 ÷ 1 |
= | 3m8n3 |