Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(7 p^{4} ⋅ 5 p^{8}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(7 p^{4} ⋅ 5 p^{8} = 7 ⋅ 5 ⋅ p^{4 + 8} = 35 p^{12}\) 1p 1p b \(2 x^{9} ⋅ 5 x ⋅ 8 x^{3}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(2 x^{9} ⋅ 5 x ⋅ 8 x^{3} = 2 ⋅ 5 ⋅ 8 ⋅ x^{9 + 1 + 3} = 80 x^{13}\) 1p 1p c \(5 x y^{6} ⋅ 3 x^{2} y^{4}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(15 x^{3} y^{10}\) 1p 1p d \(4 a^{5} + 6 a^{5}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(10 a^{5}\) 1p opgave 2Herleid. 1p a \(3 a + 6 b^{5} + 2 a + 4 b^{5}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(5 a + 10 b^{5}\) 1p 1p b \(5 x^{6} ⋅ 6 x - 3 x^{4} ⋅ 2 x^{3}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(30 x^{7} - 6 x^{7} = 24 x^{7}\) 1p 1p c \(6 p^{8} + 2 p^{6}\) 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 \((x^{3})^{8}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{24}\) 1p 1p b \(a^{6} ⋅ (a^{7})^{9}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(a^{6} ⋅ a^{63} = a^{69}\) 1p 1p c \(9 (p^{3})^{14} + 6 (p^{7})^{6}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(9 p^{42} + 6 p^{42} = 15 p^{42}\) 1p 1p d \((6 x)^{4}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(1\,296 x^{4}\) 1p opgave 2Herleid. 1p a \((-5 a)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(15\,625 a^{6}\) 1p 1p b \((a b^{2})^{5}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{5} b^{10}\) 1p 1p c \({x^{9} \over x^{6}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(x^{3}\) 1p 1p d \({35 x^{8} y^{9} \over 5 x y}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(7 x^{7} y^{8}\) 1p opgave 3Herleid. 1p a \({3 a^{5} \over 7 a^{3}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 7} a^{2}\) 1p 1p b \((-4 p)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-1\,024 p^{5}\) 1p |