Getal & Ruimte (13e editie) - 2 havo/vwo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(7 p^{8} ⋅ 4 p^{2}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(7 p^{8} ⋅ 4 p^{2} = 7 ⋅ 4 ⋅ p^{8 + 2} = 28 p^{10}\) 1p 1p b \(7 a^{6} ⋅ 8 a ⋅ 3 a^{4}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(7 a^{6} ⋅ 8 a ⋅ 3 a^{4} = 7 ⋅ 8 ⋅ 3 ⋅ a^{6 + 1 + 4} = 168 a^{11}\) 1p 1p c \(-4 a^{5} b ⋅ 2 a^{3} b^{6}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-8 a^{8} b^{7}\) 1p 1p d \(3 x^{2} + 4 x^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(7 x^{2}\) 1p opgave 2Herleid. 1p a \(4 x^{3} + 5 y + 6 x^{3} + 2 y\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(10 x^{3} + 7 y\) 1p 1p b \(5 x ⋅ 3 x^{4} - 2 x^{2} ⋅ 6 x^{3}\) Optellen (3) 004n - Machten herleiden - basis - 1ms - dynamic variables b \(15 x^{5} - 12 x^{5} = 3 x^{5}\) 1p 1p c \(4 x^{8} + 3 x^{5}\) OptellenKN 004z - Machten herleiden - basis - 1ms - dynamic variables c Kan niet korter (k.n.k.). 1p |
|
| 2 havo/vwo | 1.5 Machten herleiden |
opgave 1Herleid. 1p a \((a^{2})^{6}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{12}\) 1p 1p b \(p^{5} ⋅ (p^{3})^{9}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{5} ⋅ p^{27} = p^{32}\) 1p 1p c \(9 (a^{5})^{9} + 6 (a^{3})^{15}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(9 a^{45} + 6 a^{45} = 15 a^{45}\) 1p 1p d \((3 x)^{2}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(9 x^{2}\) 1p opgave 2Herleid. 1p a \((-2 x)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(64 x^{6}\) 1p 1p b \((a^{6} b^{5})^{4}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{24} b^{20}\) 1p 1p c \({x^{6} \over x^{2}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{4}\) 1p 1p d \({18 x^{8} y^{7} \over 2 x y}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 x^{7} y^{6}\) 1p opgave 3Herleid. 1p a \({3 p^{4} \over 4 p}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({3 \over 4} p^{3}\) 1p 1p b \((-6 a)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-216 a^{3}\) 1p |