Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(5 x^{4} ⋅ 6 x^{9}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(5 x^{4} ⋅ 6 x^{9} = 5 ⋅ 6 ⋅ x^{4 + 9} = 30 x^{13}\) 1p 1p b \(3 a^{9} ⋅ 7 a ⋅ 5 a^{6}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(3 a^{9} ⋅ 7 a ⋅ 5 a^{6} = 3 ⋅ 7 ⋅ 5 ⋅ a^{9 + 1 + 6} = 105 a^{16}\) 1p 1p c \(-4 a^{3} b ⋅ 6 a^{5} b^{2}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-24 a^{8} b^{3}\) 1p 1p d \(2 p^{6} + 3 p^{6}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(5 p^{6}\) 1p opgave 2Herleid. 1p a \(x^{4} + 6 y^{3} + 2 x^{4} + 5 y^{3}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(3 x^{4} + 11 y^{3}\) 1p 1p b \(2 a^{2} ⋅ 3 a^{3} - 6 a^{4} ⋅ 5 a\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(6 a^{5} - 30 a^{5} = -24 a^{5}\) 1p 1p c \({x^{7} \over x^{2}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{5}\) 1p 1p d \({24 a^{8} b^{6} \over 3 a^{6} b}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(8 a^{2} b^{5}\) 1p opgave 3Herleid. 1p a \({3 x^{9} \over 8 x}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 8} x^{8}\) 1p 1p b \(3 p^{6} + 4 p^{7}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |
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| 2 vwo | 1.4 Machten herleiden |
opgave 1Herleid. 1p a \((p^{7})^{3}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{21}\) 1p 1p b \(x^{9} ⋅ (x^{8})^{4}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{9} ⋅ x^{32} = x^{41}\) 1p 1p c \(2 (a^{5})^{4} + 4 (a^{2})^{10}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(2 a^{20} + 4 a^{20} = 6 a^{20}\) 1p 1p d \((4 a)^{5}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(1\,024 a^{5}\) 1p opgave 2Herleid. 1p a \((-3 x)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(9 x^{2}\) 1p 1p b \((x^{6} y^{5})^{4}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{24} y^{20}\) 1p 1p c \((-3 a)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-243 a^{5}\) 1p |