Getal & Ruimte (13e editie) - 2 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(3 x^{5} ⋅ 9 x^{4}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(3 x^{5} ⋅ 9 x^{4} = 3 ⋅ 9 ⋅ x^{5 + 4} = 27 x^{9}\) 1p 1p b \(3 a^{6} ⋅ 5 a ⋅ 7 a^{2}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(3 a^{6} ⋅ 5 a ⋅ 7 a^{2} = 3 ⋅ 5 ⋅ 7 ⋅ a^{6 + 1 + 2} = 105 a^{9}\) 1p 1p c \(-a^{5} b^{2} ⋅ 3 a^{6} b^{4}\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-3 a^{11} b^{6}\) 1p 1p d \(4 p^{6} + 5 p^{6}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(9 p^{6}\) 1p opgave 2Herleid. 1p a \(x^{2} + 3 y^{6} + 5 x^{2} + 4 y^{6}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(6 x^{2} + 7 y^{6}\) 1p 1p b \(3 p^{3} ⋅ 5 p^{2} - 6 p^{4} ⋅ 4 p\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(15 p^{5} - 24 p^{5} = -9 p^{5}\) 1p 1p c \({x^{9} \over x^{4}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{5}\) 1p 1p d \({32 a^{8} b^{7} \over 8 a^{6} b}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(4 a^{2} b^{6}\) 1p opgave 3Herleid. 1p a \({2 a^{6} \over 9 a}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({2 \over 9} a^{5}\) 1p 1p b \(5 x^{6} + 3 x^{7}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |
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| 2 vwo | 1.4 Machten herleiden |
opgave 1Herleid. 1p a \((a^{4})^{9}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{36}\) 1p 1p b \(p^{4} ⋅ (p^{2})^{5}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(p^{4} ⋅ p^{10} = p^{14}\) 1p 1p c \(8 (x^{2})^{9} + 3 (x^{3})^{6}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(8 x^{18} + 3 x^{18} = 11 x^{18}\) 1p 1p d \((4 x)^{2}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(16 x^{2}\) 1p opgave 2Herleid. 1p a \((-2 a)^{6}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(64 a^{6}\) 1p 1p b \((x y^{4})^{3}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(x^{3} y^{12}\) 1p 1p c \((-5 a)^{3}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables c \(-125 a^{3}\) 1p |