Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(5 x^{2} ⋅ 6 x^{7}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(5 x^{2} ⋅ 6 x^{7} = 5 ⋅ 6 ⋅ x^{2 + 7} = 30 x^{9}\) 1p 1p b \(8 x^{7} ⋅ 2 x ⋅ 9 x^{6}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(8 x^{7} ⋅ 2 x ⋅ 9 x^{6} = 8 ⋅ 2 ⋅ 9 ⋅ x^{7 + 1 + 6} = 144 x^{14}\) 1p 1p c \(-3 a b^{2} ⋅ 4 a^{6} b^{5}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-12 a^{7} b^{7}\) 1p 1p d \(3 a^{2} + 6 a^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 a^{2}\) 1p opgave 2Herleid. 1p a \(p^{4} + 6 q^{3} + 5 p^{4} + 2 q^{3}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(6 p^{4} + 8 q^{3}\) 1p 1p b \(4 a^{4} ⋅ 5 a^{4} - 3 a^{6} ⋅ 2 a^{2}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(20 a^{8} - 6 a^{8} = 14 a^{8}\) 1p 1p c \({a^{9} \over a^{4}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{5}\) 1p 1p d \({16 x^{8} y^{8} \over 2 x y^{2}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(8 x^{7} y^{6}\) 1p opgave 3Herleid. 1p a \({2 p^{6} \over 9 p^{2}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({2 \over 9} p^{4}\) 1p 1p b \(2 x^{5} + 6 x^{9}\) 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 \((x^{7})^{3}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{21}\) 1p 1p b \(p^{3} ⋅ (p^{7})^{4}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{3} ⋅ p^{28} = p^{31}\) 1p 1p c \(9 (x^{3})^{16} + 5 (x^{2})^{24}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(9 x^{48} + 5 x^{48} = 14 x^{48}\) 1p 1p d \((6 a)^{5}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(7\,776 a^{5}\) 1p opgave 2Herleid. 1p a \((-4 a)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(4\,096 a^{6}\) 1p 1p b \((x^{4} y^{5})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{24} y^{30}\) 1p 1p c \((-2 a)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-32 a^{5}\) 1p |