Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(5 a^{7} ⋅ 6 a^{2}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(5 a^{7} ⋅ 6 a^{2} = 5 ⋅ 6 ⋅ a^{7 + 2} = 30 a^{9}\) 1p 1p b \(5 x^{9} ⋅ 4 x ⋅ 2 x^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(5 x^{9} ⋅ 4 x ⋅ 2 x^{3} = 5 ⋅ 4 ⋅ 2 ⋅ x^{9 + 1 + 3} = 40 x^{13}\) 1p 1p c \(-5 x^{2} y^{6} ⋅ -4 x^{3} y\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(20 x^{5} y^{7}\) 1p 1p d \(6 a^{2} + 4 a^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(10 a^{2}\) 1p opgave 2Herleid. 1p a \(6 p^{3} + 4 q^{5} + 2 p^{3} + q^{5}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(8 p^{3} + 5 q^{5}\) 1p 1p b \(5 a ⋅ 4 a^{5} - 3 a^{4} ⋅ 2 a^{2}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(20 a^{6} - 6 a^{6} = 14 a^{6}\) 1p 1p c \({x^{7} \over x^{5}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{2}\) 1p 1p d \({40 p^{7} q^{6} \over 5 p q^{4}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(8 p^{6} q^{2}\) 1p opgave 3Herleid. 1p a \({3 a^{4} \over 8 a}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 8} a^{3}\) 1p 1p b \(5 x^{8} + 3 x^{5}\) 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 \((a^{6})^{9}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{54}\) 1p 1p b \(a^{8} ⋅ (a^{5})^{6}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{8} ⋅ a^{30} = a^{38}\) 1p 1p c \(3 (x^{2})^{24} + 8 (x^{3})^{16}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(3 x^{48} + 8 x^{48} = 11 x^{48}\) 1p 1p d \((2 x)^{3}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(8 x^{3}\) 1p opgave 2Herleid. 1p a \((-4 p)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(4\,096 p^{6}\) 1p 1p b \((x^{3} y)^{5}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{15} y^{5}\) 1p 1p c \((-5 x)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-125 x^{3}\) 1p |