Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(3 a^{9} ⋅ 8 a^{2}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(3 a^{9} ⋅ 8 a^{2} = 3 ⋅ 8 ⋅ a^{9 + 2} = 24 a^{11}\) 1p 1p b \(4 x^{7} ⋅ 6 x ⋅ 5 x^{9}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(4 x^{7} ⋅ 6 x ⋅ 5 x^{9} = 4 ⋅ 6 ⋅ 5 ⋅ x^{7 + 1 + 9} = 120 x^{17}\) 1p 1p c \(-4 x^{6} y^{3} ⋅ x^{2} y^{5}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-4 x^{8} y^{8}\) 1p 1p d \(2 p^{3} + 5 p^{3}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(7 p^{3}\) 1p opgave 2Herleid. 1p a \(4 a^{3} + b^{2} + 6 a^{3} + 5 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(10 a^{3} + 6 b^{2}\) 1p 1p b \(2 a^{5} ⋅ 5 a - 3 a^{2} ⋅ 6 a^{4}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(10 a^{6} - 18 a^{6} = -8 a^{6}\) 1p 1p c \(6 x^{7} + 2 x^{8}\) 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 \((x^{4})^{2}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{8}\) 1p 1p b \(p^{5} ⋅ (p^{4})^{2}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{5} ⋅ p^{8} = p^{13}\) 1p 1p c \(5 (a^{3})^{16} + 9 (a^{2})^{24}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(5 a^{48} + 9 a^{48} = 14 a^{48}\) 1p 1p d \((2 x)^{3}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(8 x^{3}\) 1p opgave 2Herleid. 1p a \((-5 a)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(15\,625 a^{6}\) 1p 1p b \((a b^{4})^{2}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{2} b^{8}\) 1p 1p c \({a^{5} \over a^{3}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{2}\) 1p 1p d \({27 x^{8} y^{9} \over 3 x^{2} y^{6}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 x^{6} y^{3}\) 1p opgave 3Herleid. 1p a \({4 x^{7} \over 9 x}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({4 \over 9} x^{6}\) 1p 1p b \((-4 p)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-64 p^{3}\) 1p |