Getal & Ruimte (13e editie) - 3 havo
'Machten herleiden'.
| 1 havo/vwo | 8.5 Machten en letters |
opgave 1Herleid. 1p a \(8 x^{6} ⋅ 7 x^{9}\) Vermenigvuldigen (1) 004i - Machten herleiden - basis - 0ms - dynamic variables a \(8 x^{6} ⋅ 7 x^{9} = 8 ⋅ 7 ⋅ x^{6 + 9} = 56 x^{15}\) 1p 1p b \(4 x^{8} ⋅ 3 x ⋅ 2 x^{9}\) Vermenigvuldigen (2) 004j - Machten herleiden - basis - 0ms - dynamic variables b \(4 x^{8} ⋅ 3 x ⋅ 2 x^{9} = 4 ⋅ 3 ⋅ 2 ⋅ x^{8 + 1 + 9} = 24 x^{18}\) 1p 1p c \(-6 a^{5} b^{4} ⋅ 2 a^{3} b\) Vermenigvuldigen (3) 004k - Machten herleiden - basis - 0ms - dynamic variables c \(-12 a^{8} b^{5}\) 1p 1p d \(3 p^{4} + 5 p^{4}\) Optellen (1) 004l - Machten herleiden - basis - 0ms - dynamic variables d \(8 p^{4}\) 1p opgave 2Herleid. 1p a \(3 a^{6} + b^{4} + 5 a^{6} + 2 b^{4}\) Optellen (2) 004m - Machten herleiden - basis - 0ms - dynamic variables a \(8 a^{6} + 3 b^{4}\) 1p 1p b \(6 x^{4} ⋅ 2 x - 4 x^{2} ⋅ 5 x^{3}\) Optellen (3) 004n - Machten herleiden - basis - 1ms - dynamic variables b \(12 x^{5} - 20 x^{5} = -8 x^{5}\) 1p 1p c \(3 a^{9} + 5 a^{6}\) OptellenKN 004z - Machten herleiden - basis - 1ms - 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 \((a^{2})^{3}\) MachtVanMacht (1) 004o - Machten herleiden - basis - 0ms - dynamic variables a \(a^{6}\) 1p 1p b \(x^{7} ⋅ (x^{6})^{5}\) MachtVanMacht (2) 004p - Machten herleiden - basis - 0ms - dynamic variables b \(x^{7} ⋅ x^{30} = x^{37}\) 1p 1p c \(2 (a^{3})^{10} + 9 (a^{2})^{15}\) MachtVanMacht (3) 004q - Machten herleiden - basis - 1ms - dynamic variables c \(2 a^{30} + 9 a^{30} = 11 a^{30}\) 1p 1p d \((3 p)^{4}\) MachtVanProduct (1) 004r - Machten herleiden - basis - 0ms - dynamic variables d \(81 p^{4}\) 1p opgave 2Herleid. 1p a \((-5 x)^{2}\) MachtVanProduct (2) 004s - Machten herleiden - basis - 0ms - dynamic variables a \(25 x^{2}\) 1p 1p b \((a^{5} b^{6})^{2}\) MachtVanProduct (4) 004t - Machten herleiden - basis - 0ms - dynamic variables b \(a^{10} b^{12}\) 1p 1p c \({x^{7} \over x^{4}}\) Delen (1) 004u - Machten herleiden - basis - 1ms - dynamic variables c \(x^{3}\) 1p 1p d \({10 x^{8} y^{6} \over 2 x^{5} y^{4}}\) Delen (3) 004v - Machten herleiden - basis - 1ms - dynamic variables d \(5 x^{3} y^{2}\) 1p opgave 3Herleid. 1p a \({5 a^{7} \over 7 a^{3}}\) Delen (2) 004w - Machten herleiden - basis - 1ms - dynamic variables a \({5 \over 7} a^{4}\) 1p 1p b \((-6 p)^{5}\) MachtVanProduct (3) 0052 - Machten herleiden - basis - 0ms - dynamic variables b \(-7\,776 p^{5}\) 1p |