Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(8 x^{2} ⋅ 4 x^{5}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(8 x^{2} ⋅ 4 x^{5} = 8 ⋅ 4 ⋅ x^{2 + 5} = 32 x^{7}\) 1p 1p b \(2 x^{5} ⋅ 7 x ⋅ 4 x^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(2 x^{5} ⋅ 7 x ⋅ 4 x^{3} = 2 ⋅ 7 ⋅ 4 ⋅ x^{5 + 1 + 3} = 56 x^{9}\) 1p 1p c \(6 a^{2} b^{4} ⋅ a^{5} b^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(6 a^{7} b^{7}\) 1p 1p d \(3 p^{6} + 2 p^{6}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(5 p^{6}\) 1p opgave 2Herleid. 1p a \(4 a + 3 b^{6} + 5 a + 2 b^{6}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(9 a + 5 b^{6}\) 1p 1p b \(3 p ⋅ 5 p^{7} - 2 p^{3} ⋅ 6 p^{5}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(15 p^{8} - 12 p^{8} = 3 p^{8}\) 1p 1p c \(2 a^{8} + 3 a^{9}\) 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 \(p^{2} ⋅ (p^{5})^{3}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{2} ⋅ p^{15} = p^{17}\) 1p 1p c \(3 (a^{5})^{9} + 9 (a^{3})^{15}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(3 a^{45} + 9 a^{45} = 12 a^{45}\) 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 \((-3 x)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(729 x^{6}\) 1p 1p b \((a^{4} b^{2})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{24} b^{12}\) 1p 1p c \({x^{9} \over x^{5}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{4}\) 1p 1p d \({18 p^{9} q^{6} \over 9 p^{7} q}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(2 p^{2} q^{5}\) 1p opgave 3Herleid. 1p a \({3 x^{8} \over 8 x}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 8} x^{7}\) 1p 1p b \((-6 a)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-7\,776 a^{5}\) 1p |