Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(3 x^{6} ⋅ 8 x^{2}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(3 x^{6} ⋅ 8 x^{2} = 3 ⋅ 8 ⋅ x^{6 + 2} = 24 x^{8}\) 1p 1p b \(4 a^{6} ⋅ 9 a ⋅ 8 a^{2}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(4 a^{6} ⋅ 9 a ⋅ 8 a^{2} = 4 ⋅ 9 ⋅ 8 ⋅ a^{6 + 1 + 2} = 288 a^{9}\) 1p 1p c \(4 a^{3} b^{6} ⋅ -5 a^{2} b\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-20 a^{5} b^{7}\) 1p 1p d \(6 x^{2} + 3 x^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 x^{2}\) 1p opgave 2Herleid. 1p a \(p^{4} + 3 q^{2} + 6 p^{4} + 5 q^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 p^{4} + 8 q^{2}\) 1p 1p b \(6 p^{2} ⋅ 5 p^{6} - 3 p^{3} ⋅ 4 p^{5}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(30 p^{8} - 12 p^{8} = 18 p^{8}\) 1p 1p c \(2 x^{6} + 3 x^{9}\) 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 \((p^{3})^{4}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{12}\) 1p 1p b \(x^{6} ⋅ (x^{2})^{3}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{6} ⋅ x^{6} = x^{12}\) 1p 1p c \(5 (a^{3})^{6} + 6 (a^{2})^{9}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(5 a^{18} + 6 a^{18} = 11 a^{18}\) 1p 1p d \((4 x)^{2}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(16 x^{2}\) 1p opgave 2Herleid. 1p a \((-5 a)^{4}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(625 a^{4}\) 1p 1p b \((x^{4} y^{2})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{24} y^{12}\) 1p 1p c \({a^{8} \over a^{2}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{6}\) 1p 1p d \({35 a^{8} b^{7} \over 5 a^{5} b^{5}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(7 a^{3} b^{2}\) 1p opgave 3Herleid. 1p a \({7 x^{5} \over 8 x^{3}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({7 \over 8} x^{2}\) 1p 1p b \((-5 p)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-125 p^{3}\) 1p |