Getal & Ruimte (13e editie) - 1 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(4 x^{2} ⋅ 8 x^{9}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(4 x^{2} ⋅ 8 x^{9} = 4 ⋅ 8 ⋅ x^{2 + 9} = 32 x^{11}\) 1p 1p b \(9 a^{8} ⋅ 6 a ⋅ 7 a^{5}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 a^{8} ⋅ 6 a ⋅ 7 a^{5} = 9 ⋅ 6 ⋅ 7 ⋅ a^{8 + 1 + 5} = 378 a^{14}\) 1p 1p c \(-p^{3} q^{6} ⋅ 5 p^{2} q^{4}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-5 p^{5} q^{10}\) 1p 1p d \(3 a^{5} + 6 a^{5}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 a^{5}\) 1p opgave 2Herleid. 1p a \(5 x^{2} + 4 y^{3} + x^{2} + 6 y^{3}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(6 x^{2} + 10 y^{3}\) 1p 1p b \(3 p^{5} ⋅ 2 p^{4} - 6 p^{2} ⋅ 5 p^{7}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(6 p^{9} - 30 p^{9} = -24 p^{9}\) 1p 1p c \({a^{7} \over a^{3}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{4}\) 1p 1p d \({20 x^{9} y^{8} \over 5 x^{4} y^{2}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(4 x^{5} y^{6}\) 1p opgave 3Herleid. 1p a \({4 a^{3} \over 9 a}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({4 \over 9} a^{2}\) 1p 1p b \(2 x^{8} + 4 x^{5}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |