Saved Bookmarks
| 1. |
Show that:(i) ∛27 × ∛64 = ∛(27×64)(ii) ∛(64×729) = ∛64 × ∛729 |
|
Answer» (i) ∛27 × ∛64 = ∛(27×64) L.H.S = ∛27 × ∛64 ∛27 × ∛64 = ∛(3×3×3) × ∛(4×4×4) = 3×4 = 12 R.H.S = ∛(27×64) ∛ (27×64) = ∛(3×3×3×4×4×4) = 3×4 = 12 ∴ L.H.S = R.H.S (ii) ∛ (64×729) = ∛64 × ∛729 L.H.S = ∛(64×729) ∛(64×729) = ∛(4×4×4×9×9×9) = 4×9 = 36 R.H.S = ∛64 × ∛729 ∛64 × ∛729 = ∛(4×4×4) × ∛(9×9×9) = 4×9 = 36 ∴ L.H.S = R.H.S |
|