Getal & Ruimte (13e editie) - 1 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(3 p^{8} ⋅ 4 p^{2}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(3 p^{8} ⋅ 4 p^{2} = 3 ⋅ 4 ⋅ p^{8 + 2} = 12 p^{10}\) 1p 1p b \(9 x^{7} ⋅ 4 x ⋅ 2 x^{5}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 x^{7} ⋅ 4 x ⋅ 2 x^{5} = 9 ⋅ 4 ⋅ 2 ⋅ x^{7 + 1 + 5} = 72 x^{13}\) 1p 1p c \(a^{2} b^{3} ⋅ 4 a^{6} b^{5}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(4 a^{8} b^{8}\) 1p 1p d \(2 x^{3} + 6 x^{3}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 x^{3}\) 1p opgave 2Herleid. 1p a \(6 a^{3} + 4 b^{2} + a^{3} + 5 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 a^{3} + 9 b^{2}\) 1p 1p b \(2 a^{7} ⋅ 6 a^{2} - 3 a^{6} ⋅ 5 a^{3}\) Optellen (3) 004n - Machten herleiden - basis - 1ms - dynamic variables b \(12 a^{9} - 15 a^{9} = -3 a^{9}\) 1p 1p c \({p^{7} \over p^{4}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(p^{3}\) 1p 1p d \({45 x^{7} y^{8} \over 9 x^{4} y^{6}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(5 x^{3} y^{2}\) 1p opgave 3Herleid. 1p a \({5 a^{8} \over 9 a^{2}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 9} a^{6}\) 1p 1p b \(6 x^{9} + 2 x^{6}\) OptellenKN 004z - Machten herleiden - basis - 1ms - dynamic variables b Kan niet korter (k.n.k.). 1p |