Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(6 a^{3} ⋅ 2 a^{8}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(6 a^{3} ⋅ 2 a^{8} = 6 ⋅ 2 ⋅ a^{3 + 8} = 12 a^{11}\) 1p 1p b \(9 x^{6} ⋅ 4 x ⋅ 8 x^{7}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(9 x^{6} ⋅ 4 x ⋅ 8 x^{7} = 9 ⋅ 4 ⋅ 8 ⋅ x^{6 + 1 + 7} = 288 x^{14}\) 1p 1p c \(2 x^{6} y^{3} ⋅ x^{4} y^{5}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(2 x^{10} y^{8}\) 1p 1p d \(3 p^{4} + 6 p^{4}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 p^{4}\) 1p opgave 2Herleid. 1p a \(a^{3} + 2 b^{4} + 6 a^{3} + 5 b^{4}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 a^{3} + 7 b^{4}\) 1p 1p b \(6 p ⋅ 3 p^{5} - 2 p^{3} ⋅ 5 p^{3}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(18 p^{6} - 10 p^{6} = 8 p^{6}\) 1p 1p c \(3 x^{9} + 5 x^{7}\) 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 \((p^{2})^{5}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(p^{10}\) 1p 1p b \(x^{7} ⋅ (x^{4})^{5}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{7} ⋅ x^{20} = x^{27}\) 1p 1p c \(5 (a^{2})^{18} + 9 (a^{3})^{12}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(5 a^{36} + 9 a^{36} = 14 a^{36}\) 1p 1p d \((5 a)^{6}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(15\,625 a^{6}\) 1p opgave 2Herleid. 1p a \((-6 x)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(36 x^{2}\) 1p 1p b \((a^{5} b^{3})^{2}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{10} b^{6}\) 1p 1p c \({a^{8} \over a^{2}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(a^{6}\) 1p 1p d \({16 x^{8} y^{3} \over 2 x y}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(8 x^{7} y^{2}\) 1p opgave 3Herleid. 1p a \({5 p^{5} \over 9 p^{2}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 9} p^{3}\) 1p 1p b \((-3 x)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-243 x^{5}\) 1p |