Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(8 a^{4} ⋅ 7 a^{3}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(8 a^{4} ⋅ 7 a^{3} = 8 ⋅ 7 ⋅ a^{4 + 3} = 56 a^{7}\) 1p 1p b \(6 a^{4} ⋅ 8 a ⋅ 7 a^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(6 a^{4} ⋅ 8 a ⋅ 7 a^{3} = 6 ⋅ 8 ⋅ 7 ⋅ a^{4 + 1 + 3} = 336 a^{8}\) 1p 1p c \(p^{2} q^{6} ⋅ -5 p^{4} q^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-5 p^{6} q^{9}\) 1p 1p d \(4 x^{6} + 5 x^{6}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 x^{6}\) 1p opgave 2Herleid. 1p a \(3 x^{4} + y^{6} + 2 x^{4} + 5 y^{6}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(5 x^{4} + 6 y^{6}\) 1p 1p b \(3 x ⋅ 2 x^{8} - 4 x^{2} ⋅ 5 x^{7}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(6 x^{9} - 20 x^{9} = -14 x^{9}\) 1p 1p c \({x^{9} \over x^{4}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{5}\) 1p 1p d \({54 a^{8} b^{3} \over 6 a^{5} b}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 a^{3} b^{2}\) 1p opgave 3Herleid. 1p a \({5 p^{4} \over 6 p}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 6} p^{3}\) 1p 1p b \(3 a^{8} + 4 a^{7}\) 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 \((p^{6})^{7}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{42}\) 1p 1p b \(a^{8} ⋅ (a^{4})^{5}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{8} ⋅ a^{20} = a^{28}\) 1p 1p c \(8 (x^{2})^{12} + 5 (x^{3})^{8}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(8 x^{24} + 5 x^{24} = 13 x^{24}\) 1p 1p d \((6 a)^{5}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(7\,776 a^{5}\) 1p opgave 2Herleid. 1p a \((-6 x)^{4}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(1\,296 x^{4}\) 1p 1p b \((a^{4} b^{3})^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{24} b^{18}\) 1p 1p c \((-3 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-243 x^{5}\) 1p |