Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(6 x^{9} ⋅ 2 x^{7}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(6 x^{9} ⋅ 2 x^{7} = 6 ⋅ 2 ⋅ x^{9 + 7} = 12 x^{16}\) 1p 1p b \(9 a^{6} ⋅ 8 a ⋅ 5 a^{7}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 a^{6} ⋅ 8 a ⋅ 5 a^{7} = 9 ⋅ 8 ⋅ 5 ⋅ a^{6 + 1 + 7} = 360 a^{14}\) 1p 1p c \(-2 p^{6} q ⋅ -5 p^{4} q^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(10 p^{10} q^{4}\) 1p 1p d \(3 a^{5} + 6 a^{5}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 a^{5}\) 1p opgave 2Herleid. 1p a \(4 x + 5 y^{2} + 3 x + 6 y^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 x + 11 y^{2}\) 1p 1p b \(6 x^{2} ⋅ 3 x^{4} - 2 x^{3} ⋅ 5 x^{3}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(18 x^{6} - 10 x^{6} = 8 x^{6}\) 1p 1p c \(3 p^{7} + 2 p^{9}\) 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 \((x^{2})^{7}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{14}\) 1p 1p b \(a^{4} ⋅ (a^{2})^{7}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{4} ⋅ a^{14} = a^{18}\) 1p 1p c \(6 (p^{3})^{16} + 2 (p^{2})^{24}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(6 p^{48} + 2 p^{48} = 8 p^{48}\) 1p 1p d \((6 a)^{4}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(1\,296 a^{4}\) 1p opgave 2Herleid. 1p a \((-3 x)^{4}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(81 x^{4}\) 1p 1p b \((x^{3} y^{2})^{5}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{15} y^{10}\) 1p 1p c \({a^{9} \over a^{7}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{2}\) 1p 1p d \({42 a^{9} b^{7} \over 6 a^{2} b^{3}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(7 a^{7} b^{4}\) 1p opgave 3Herleid. 1p a \({3 p^{8} \over 8 p^{3}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 8} p^{5}\) 1p 1p b \((-2 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-32 x^{5}\) 1p |