Saved Bookmarks
| 1. |
Express each of the following products as a monomials and verify the result for x = 1, y = 2:(i) (1/8x2y4) × (1/4x4y2) × (xy) × 5(ii) (2/5a2b) × (-15b2ac) × (-1/2c2)(iii) (-4/7a2b) × (-2/3b2c) × (-7/6c2a) |
|
Answer» (i) (1/8x2y4) × (1/4x4y2) × (xy) × 5 = 1/8 × 1/4 × 5 × x2 × x4 × x × y4 × y2 × y = 5/32 × x2+4+1 × y4+2+1 = 5/32x7y7 Now let us substitute when, x = 1 and y = 2 = 5/32 × 16 × 26 = 5/32 × 64 = 5 × 2 = 10 (ii) (2/5a2b) × (-15b2ac) × (-1/2c2) = 2/5 × -15 × -1/2 × a2 × a × b × b2 × c × c2 = 3 × a2+1 × b1+2 × c1+2 = 3a3b3c3 (iii) (-4/7a2b) × (-2/3b2c) × (-7/6c2a) = -4/7 × -2/3 × -7/6 × a2 × a × b × b2 × c × c2 = -4/9 × a2+1 × b2+1 × c1+2 = -4/9a3b3c3 |
|