Getal & Ruimte (13e editie) - 1 vwo
'Machten herleiden'.
| 1 vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(9 a^{2} ⋅ 4 a^{3}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(9 a^{2} ⋅ 4 a^{3} = 9 ⋅ 4 ⋅ a^{2 + 3} = 36 a^{5}\) 1p 1p b \(2 x^{7} ⋅ 9 x ⋅ 5 x^{4}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(2 x^{7} ⋅ 9 x ⋅ 5 x^{4} = 2 ⋅ 9 ⋅ 5 ⋅ x^{7 + 1 + 4} = 90 x^{12}\) 1p 1p c \(2 p^{4} q^{6} ⋅ -5 p^{3} q\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-10 p^{7} q^{7}\) 1p 1p d \(3 a^{5} + 4 a^{5}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(7 a^{5}\) 1p opgave 2Herleid. 1p a \(4 x^{2} + y^{5} + 3 x^{2} + 6 y^{5}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(7 x^{2} + 7 y^{5}\) 1p 1p b \(4 x^{6} ⋅ 2 x^{2} - 3 x^{7} ⋅ 5 x\) Optellen (3) 004n - Machten herleiden - basis - 0ms - dynamic variables b \(8 x^{8} - 15 x^{8} = -7 x^{8}\) 1p 1p c \({a^{8} \over a^{3}}\) Delen (1) 004u - Machten herleiden - basis - 0ms - dynamic variables c \(a^{5}\) 1p 1p d \({72 p^{9} q^{3} \over 8 p^{5} q}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(9 p^{4} q^{2}\) 1p opgave 3Herleid. 1p a \({2 x^{9} \over 9 x^{5}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({2 \over 9} x^{4}\) 1p 1p b \(6 a^{5} + 5 a^{6}\) OptellenKN 004z - Machten herleiden - basis - 0ms - dynamic variables b Kan niet korter (k.n.k.). 1p |