Getal & Ruimte (13e editie) - 1 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(4 a^{2} ⋅ 8 a^{3}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(4 a^{2} ⋅ 8 a^{3} = 4 ⋅ 8 ⋅ a^{2 + 3} = 32 a^{5}\) 1p 1p b \(6 x^{7} ⋅ 3 x ⋅ 4 x^{8}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(6 x^{7} ⋅ 3 x ⋅ 4 x^{8} = 6 ⋅ 3 ⋅ 4 ⋅ x^{7 + 1 + 8} = 72 x^{16}\) 1p 1p c \(5 x y^{4} ⋅ 6 x^{2} y^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(30 x^{3} y^{7}\) 1p 1p d \(2 p^{3} + 5 p^{3}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(7 p^{3}\) 1p opgave 2Herleid. 1p a \(6 a^{4} + 3 b^{2} + 5 a^{4} + b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(11 a^{4} + 4 b^{2}\) 1p 1p b \(2 a ⋅ 3 a^{5} - 5 a^{3} ⋅ 4 a^{3}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(6 a^{6} - 20 a^{6} = -14 a^{6}\) 1p 1p c \({p^{9} \over p^{3}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(p^{6}\) 1p 1p d \({24 a^{6} b^{4} \over 4 a^{4} b}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(6 a^{2} b^{3}\) 1p opgave 3Herleid. 1p a \({7 x^{7} \over 8 x^{2}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({7 \over 8} x^{5}\) 1p 1p b \(2 x^{6} + 3 x^{5}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |