Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(4 x^{8} ⋅ 5 x^{6}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(4 x^{8} ⋅ 5 x^{6} = 4 ⋅ 5 ⋅ x^{8 + 6} = 20 x^{14}\) 1p 1p b \(2 a^{9} ⋅ 3 a ⋅ 8 a^{7}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(2 a^{9} ⋅ 3 a ⋅ 8 a^{7} = 2 ⋅ 3 ⋅ 8 ⋅ a^{9 + 1 + 7} = 48 a^{17}\) 1p 1p c \(-6 p q^{2} ⋅ 5 p^{3} q^{4}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-30 p^{4} q^{6}\) 1p 1p d \(3 a^{2} + 5 a^{2}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 a^{2}\) 1p opgave 2Herleid. 1p a \(x^{6} + 3 y^{5} + 4 x^{6} + 2 y^{5}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(5 x^{6} + 5 y^{5}\) 1p 1p b \(4 x^{6} ⋅ 3 x^{3} - 2 x^{5} ⋅ 5 x^{4}\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(12 x^{9} - 10 x^{9} = 2 x^{9}\) 1p 1p c \(5 x^{9} + 4 x^{6}\) 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 \((a^{6})^{7}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{42}\) 1p 1p b \(x^{6} ⋅ (x^{3})^{7}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{6} ⋅ x^{21} = x^{27}\) 1p 1p c \(8 (p^{5})^{4} + 5 (p^{2})^{10}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(8 p^{20} + 5 p^{20} = 13 p^{20}\) 1p 1p d \((3 x)^{6}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(729 x^{6}\) 1p opgave 2Herleid. 1p a \((-3 a)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(9 a^{2}\) 1p 1p b \((x^{3} y)^{6}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{18} y^{6}\) 1p 1p c \({p^{8} \over p^{3}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(p^{5}\) 1p 1p d \({32 x^{9} y^{7} \over 4 x^{7} y}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(8 x^{2} y^{6}\) 1p opgave 3Herleid. 1p a \({5 a^{5} \over 8 a^{3}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 8} a^{2}\) 1p 1p b \((-6 a)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-216 a^{3}\) 1p |