Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(5 a^{3} ⋅ 8 a^{6}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(5 a^{3} ⋅ 8 a^{6} = 5 ⋅ 8 ⋅ a^{3 + 6} = 40 a^{9}\) 1p 1p b \(2 x^{4} ⋅ 9 x ⋅ 5 x^{7}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(2 x^{4} ⋅ 9 x ⋅ 5 x^{7} = 2 ⋅ 9 ⋅ 5 ⋅ x^{4 + 1 + 7} = 90 x^{12}\) 1p 1p c \(-2 a b^{5} ⋅ 3 a^{6} b^{4}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-6 a^{7} b^{9}\) 1p 1p d \(6 x^{5} + 2 x^{5}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 x^{5}\) 1p opgave 2Herleid. 1p a \(4 p^{6} + q^{5} + 2 p^{6} + 3 q^{5}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(6 p^{6} + 4 q^{5}\) 1p 1p b \(5 x ⋅ 2 x^{8} - 6 x^{2} ⋅ 4 x^{7}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(10 x^{9} - 24 x^{9} = -14 x^{9}\) 1p 1p c \(6 a^{7} + 5 a^{5}\) 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 \((p^{2})^{4}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{8}\) 1p 1p b \(x^{9} ⋅ (x^{2})^{4}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{9} ⋅ x^{8} = x^{17}\) 1p 1p c \(7 (x^{2})^{24} + 9 (x^{3})^{16}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(7 x^{48} + 9 x^{48} = 16 x^{48}\) 1p 1p d \((2 a)^{4}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(16 a^{4}\) 1p opgave 2Herleid. 1p a \((-4 a)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(16 a^{2}\) 1p 1p b \((a^{5} b^{3})^{4}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{20} b^{12}\) 1p 1p c \({x^{6} \over x^{4}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{2}\) 1p 1p d \({48 p^{9} q^{8} \over 8 p^{4} q}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(6 p^{5} q^{7}\) 1p opgave 3Herleid. 1p a \({5 x^{7} \over 8 x^{4}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 8} x^{3}\) 1p 1p b \((-6 a)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-216 a^{3}\) 1p |