Getal & Ruimte (12e editie) - vwo wiskunde A
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(8 x^{2} ⋅ 4 x^{7}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(8 x^{2} ⋅ 4 x^{7} = 8 ⋅ 4 ⋅ x^{2 + 7} = 32 x^{9}\) 1p 1p b \(8 x^{3} ⋅ 5 x ⋅ 2 x^{4}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(8 x^{3} ⋅ 5 x ⋅ 2 x^{4} = 8 ⋅ 5 ⋅ 2 ⋅ x^{3 + 1 + 4} = 80 x^{8}\) 1p 1p c \(-4 a^{2} b^{6} ⋅ -a^{5} b^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(4 a^{7} b^{9}\) 1p 1p d \(5 p^{6} + 3 p^{6}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 p^{6}\) 1p opgave 2Herleid. 1p a \(4 a + 5 b^{3} + 6 a + 2 b^{3}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(10 a + 7 b^{3}\) 1p 1p b \(2 x^{4} ⋅ 4 x^{5} - 3 x^{2} ⋅ 5 x^{7}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(8 x^{9} - 15 x^{9} = -7 x^{9}\) 1p 1p c \({a^{6} \over a^{2}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{4}\) 1p 1p d \({32 p^{6} q^{5} \over 8 p^{2} q}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(4 p^{4} q^{4}\) 1p opgave 3Herleid. 1p a \({7 a^{9} \over 9 a^{7}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({7 \over 9} a^{2}\) 1p 1p b \(2 x^{6} + 3 x^{5}\) 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 \((a^{8})^{4}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{32}\) 1p 1p b \(x^{2} ⋅ (x^{7})^{6}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{2} ⋅ x^{42} = x^{44}\) 1p 1p c \(6 (p^{5})^{8} + 5 (p^{2})^{20}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(6 p^{40} + 5 p^{40} = 11 p^{40}\) 1p 1p d \((3 a)^{2}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(9 a^{2}\) 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 \((x^{2} y)^{3}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{6} y^{3}\) 1p 1p c \((-4 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-1\,024 x^{5}\) 1p |
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| vwo wiskunde A | 5.1 Rekenen met machten |
opgave 1Herleid. 1p a \(({p \over 3 q})^{2}\) MachtVanBreuk (1) 0053 - Machten herleiden - basis - 0ms - dynamic variables a \({p^{2} \over 9 q^{2}}\) 1p 1p b \(({a^{3} \over b^{2}})^{6}\) MachtVanBreuk (2) 0054 - Machten herleiden - basis - 0ms - dynamic variables b \(({a^{3} \over b^{2}})^{6} = {a^{18} \over b^{12}}\) 1p |