Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(2 x^{9} ⋅ 6 x^{3}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(2 x^{9} ⋅ 6 x^{3} = 2 ⋅ 6 ⋅ x^{9 + 3} = 12 x^{12}\) 1p 1p b \(5 x^{4} ⋅ 2 x ⋅ 6 x^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(5 x^{4} ⋅ 2 x ⋅ 6 x^{3} = 5 ⋅ 2 ⋅ 6 ⋅ x^{4 + 1 + 3} = 60 x^{8}\) 1p 1p c \(6 p^{4} q^{5} ⋅ 2 p q^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(12 p^{5} q^{8}\) 1p 1p d \(6 a^{2} + 5 a^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(11 a^{2}\) 1p opgave 2Herleid. 1p a \(5 a + 4 b^{2} + 3 a + 6 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(8 a + 10 b^{2}\) 1p 1p b \(3 x^{5} ⋅ 2 x - 6 x^{4} ⋅ 4 x^{2}\) Optellen (3) 004n - Machten herleiden - basis - 1ms - dynamic variables b \(6 x^{6} - 24 x^{6} = -18 x^{6}\) 1p 1p c \(2 a^{5} + 3 a^{9}\) OptellenKN 004z - Machten herleiden - basis - 1ms - dynamic variables c Kan niet korter (k.n.k.). 1p |
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| 2 havo/vwo | 1.5 Machten herleiden |
opgave 1Herleid. 1p a \((x^{8})^{9}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{72}\) 1p 1p b \(a^{3} ⋅ (a^{6})^{8}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{3} ⋅ a^{48} = a^{51}\) 1p 1p c \(8 (p^{5})^{4} + 9 (p^{2})^{10}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(8 p^{20} + 9 p^{20} = 17 p^{20}\) 1p 1p d \((4 a)^{6}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(4\,096 a^{6}\) 1p opgave 2Herleid. 1p a \((-2 x)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(64 x^{6}\) 1p 1p b \((x^{5} y^{2})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{30} y^{12}\) 1p 1p c \({a^{6} \over a^{2}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(a^{4}\) 1p 1p d \({54 p^{8} q^{5} \over 6 p^{6} q}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 p^{2} q^{4}\) 1p opgave 3Herleid. 1p a \({4 x^{9} \over 9 x^{4}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({4 \over 9} x^{5}\) 1p 1p b \((-2 a)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-32 a^{5}\) 1p |