Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(2 a^{5} ⋅ 9 a^{3}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(2 a^{5} ⋅ 9 a^{3} = 2 ⋅ 9 ⋅ a^{5 + 3} = 18 a^{8}\) 1p 1p b \(7 p^{6} ⋅ 4 p ⋅ 9 p^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(7 p^{6} ⋅ 4 p ⋅ 9 p^{3} = 7 ⋅ 4 ⋅ 9 ⋅ p^{6 + 1 + 3} = 252 p^{10}\) 1p 1p c \(x^{3} y^{5} ⋅ 4 x^{2} y^{6}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(4 x^{5} y^{11}\) 1p 1p d \(5 a^{3} + 2 a^{3}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(7 a^{3}\) 1p opgave 2Herleid. 1p a \(6 x^{5} + 3 y^{2} + x^{5} + 4 y^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 x^{5} + 7 y^{2}\) 1p 1p b \(5 a^{5} ⋅ 3 a^{3} - 2 a^{2} ⋅ 4 a^{6}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(15 a^{8} - 8 a^{8} = 7 a^{8}\) 1p 1p c \({x^{7} \over x^{3}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{4}\) 1p 1p d \({16 a^{6} b^{9} \over 8 a^{2} b^{7}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(2 a^{4} b^{2}\) 1p opgave 3Herleid. 1p a \({7 p^{4} \over 8 p}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({7 \over 8} p^{3}\) 1p 1p b \(2 x^{5} + 3 x^{6}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |
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| 2 vwo | 1.4 Machten herleiden |
opgave 1Herleid. 1p a \((p^{9})^{4}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{36}\) 1p 1p b \(a^{3} ⋅ (a^{2})^{8}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{3} ⋅ a^{16} = a^{19}\) 1p 1p c \(7 (a^{3})^{4} + 3 (a^{2})^{6}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(7 a^{12} + 3 a^{12} = 10 a^{12}\) 1p 1p d \((6 x)^{2}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(36 x^{2}\) 1p opgave 2Herleid. 1p a \((-4 x)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(4\,096 x^{6}\) 1p 1p b \((x^{5} y)^{3}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{15} y^{3}\) 1p 1p c \((-3 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-243 x^{5}\) 1p |