Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(4 x^{9} ⋅ 2 x^{8}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(4 x^{9} ⋅ 2 x^{8} = 4 ⋅ 2 ⋅ x^{9 + 8} = 8 x^{17}\) 1p 1p b \(9 a^{3} ⋅ 2 a ⋅ 4 a^{6}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 a^{3} ⋅ 2 a ⋅ 4 a^{6} = 9 ⋅ 2 ⋅ 4 ⋅ a^{3 + 1 + 6} = 72 a^{10}\) 1p 1p c \(-5 p^{4} q^{3} ⋅ -p^{6} q^{2}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(5 p^{10} q^{5}\) 1p 1p d \(6 x^{4} + 2 x^{4}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 x^{4}\) 1p opgave 2Herleid. 1p a \(6 a + 5 b^{2} + 3 a + 4 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(9 a + 9 b^{2}\) 1p 1p b \(4 a^{2} ⋅ 3 a^{6} - 6 a^{7} ⋅ 5 a\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(12 a^{8} - 30 a^{8} = -18 a^{8}\) 1p 1p c \(5 a^{6} + 6 a^{7}\) OptellenKN 004z - Machten herleiden - basis - 0ms - 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 \((x^{3})^{7}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{21}\) 1p 1p b \(x^{3} ⋅ (x^{6})^{4}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{3} ⋅ x^{24} = x^{27}\) 1p 1p c \(5 (a^{5})^{8} + 4 (a^{2})^{20}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(5 a^{40} + 4 a^{40} = 9 a^{40}\) 1p 1p d \((5 p)^{3}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(125 p^{3}\) 1p opgave 2Herleid. 1p a \((-3 a)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(729 a^{6}\) 1p 1p b \((p^{6} q^{4})^{5}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(p^{30} q^{20}\) 1p 1p c \({x^{9} \over x^{3}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{6}\) 1p 1p d \({35 a^{7} b^{9} \over 5 a^{5} b^{6}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(7 a^{2} b^{3}\) 1p opgave 3Herleid. 1p a \({2 a^{8} \over 3 a^{5}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({2 \over 3} a^{3}\) 1p 1p b \((-5 x)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-125 x^{3}\) 1p |