Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(2 p^{5} ⋅ 7 p^{6}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(2 p^{5} ⋅ 7 p^{6} = 2 ⋅ 7 ⋅ p^{5 + 6} = 14 p^{11}\) 1p 1p b \(9 a^{2} ⋅ 3 a ⋅ 6 a^{7}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 a^{2} ⋅ 3 a ⋅ 6 a^{7} = 9 ⋅ 3 ⋅ 6 ⋅ a^{2 + 1 + 7} = 162 a^{10}\) 1p 1p c \(6 x y^{4} ⋅ 2 x^{3} y^{5}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(12 x^{4} y^{9}\) 1p 1p d \(3 x^{2} + 6 x^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 x^{2}\) 1p opgave 2Herleid. 1p a \(4 a^{6} + 3 b^{2} + a^{6} + 5 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(5 a^{6} + 8 b^{2}\) 1p 1p b \(2 x^{7} ⋅ 4 x - 6 x^{3} ⋅ 3 x^{5}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(8 x^{8} - 18 x^{8} = -10 x^{8}\) 1p 1p c \(3 p^{7} + 6 p^{9}\) 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 \((a^{4})^{8}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{32}\) 1p 1p b \(p^{2} ⋅ (p^{8})^{6}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{2} ⋅ p^{48} = p^{50}\) 1p 1p c \(5 (a^{3})^{15} + 7 (a^{5})^{9}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(5 a^{45} + 7 a^{45} = 12 a^{45}\) 1p 1p d \((3 x)^{6}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(729 x^{6}\) 1p opgave 2Herleid. 1p a \((-2 x)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(64 x^{6}\) 1p 1p b \((x^{3} y^{4})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{18} y^{24}\) 1p 1p c \({p^{6} \over p^{2}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(p^{4}\) 1p 1p d \({6 a^{9} b^{6} \over 2 a^{4} b^{2}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(3 a^{5} b^{4}\) 1p opgave 3Herleid. 1p a \({7 a^{8} \over 8 a^{5}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({7 \over 8} a^{3}\) 1p 1p b \((-3 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-243 x^{5}\) 1p |