Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(3 a^{5} ⋅ 8 a^{6}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(3 a^{5} ⋅ 8 a^{6} = 3 ⋅ 8 ⋅ a^{5 + 6} = 24 a^{11}\) 1p 1p b \(6 p^{2} ⋅ 8 p ⋅ 3 p^{5}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(6 p^{2} ⋅ 8 p ⋅ 3 p^{5} = 6 ⋅ 8 ⋅ 3 ⋅ p^{2 + 1 + 5} = 144 p^{8}\) 1p 1p c \(5 x^{6} y ⋅ 4 x^{2} y^{3}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(20 x^{8} y^{4}\) 1p 1p d \(5 x^{3} + 4 x^{3}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 x^{3}\) 1p opgave 2Herleid. 1p a \(3 a + 5 b^{2} + 4 a + 6 b^{2}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 a + 11 b^{2}\) 1p 1p b \(3 p^{8} ⋅ 4 p - 5 p^{4} ⋅ 6 p^{5}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(12 p^{9} - 30 p^{9} = -18 p^{9}\) 1p 1p c \(3 x^{5} + 4 x^{6}\) 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 \((x^{3})^{5}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(x^{15}\) 1p 1p b \(x^{2} ⋅ (x^{9})^{6}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{2} ⋅ x^{54} = x^{56}\) 1p 1p c \(3 (a^{3})^{10} + 7 (a^{5})^{6}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(3 a^{30} + 7 a^{30} = 10 a^{30}\) 1p 1p d \((6 a)^{4}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(1\,296 a^{4}\) 1p opgave 2Herleid. 1p a \((-4 p)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(16 p^{2}\) 1p 1p b \((p^{5} q^{4})^{2}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(p^{10} q^{8}\) 1p 1p c \({x^{8} \over x^{2}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{6}\) 1p 1p d \({72 x^{8} y^{5} \over 8 x y^{3}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 x^{7} y^{2}\) 1p opgave 3Herleid. 1p a \({3 a^{6} \over 7 a}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 7} a^{5}\) 1p 1p b \((-3 a)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-243 a^{5}\) 1p |