Getal & Ruimte (13e editie) - 2 havo/vwo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(2 x^{9} ⋅ 6 x^{3}\)

Vermenigvuldigen (1)
004i - Machten herleiden - basis - 0ms - dynamic variables

a

\(2 x^{9} ⋅ 6 x^{3} = 2 ⋅ 6 ⋅ x^{9 + 3} = 12 x^{12}\)

1p

1p

b

\(5 x^{4} ⋅ 2 x ⋅ 6 x^{3}\)

Vermenigvuldigen (2)
004j - Machten herleiden - basis - 0ms - dynamic variables

b

\(5 x^{4} ⋅ 2 x ⋅ 6 x^{3} = 5 ⋅ 2 ⋅ 6 ⋅ x^{4 + 1 + 3} = 60 x^{8}\)

1p

1p

c

\(6 p^{4} q^{5} ⋅ 2 p q^{3}\)

Vermenigvuldigen (3)
004k - Machten herleiden - basis - 0ms - dynamic variables

c

\(12 p^{5} q^{8}\)

1p

1p

d

\(6 a^{2} + 5 a^{2}\)

Optellen (1)
004l - Machten herleiden - basis - 0ms - dynamic variables

d

\(11 a^{2}\)

1p

opgave 2

Herleid.

1p

a

\(5 a + 4 b^{2} + 3 a + 6 b^{2}\)

Optellen (2)
004m - Machten herleiden - basis - 0ms - dynamic variables

a

\(8 a + 10 b^{2}\)

1p

1p

b

\(3 x^{5} ⋅ 2 x - 6 x^{4} ⋅ 4 x^{2}\)

Optellen (3)
004n - Machten herleiden - basis - 1ms - dynamic variables

b

\(6 x^{6} - 24 x^{6} = -18 x^{6}\)

1p

1p

c

\(2 a^{5} + 3 a^{9}\)

OptellenKN
004z - Machten herleiden - basis - 1ms - dynamic variables

c

Kan niet korter (k.n.k.).

1p

2 havo/vwo 1.5 Machten herleiden

Machten herleiden (10)

opgave 1

Herleid.

1p

a

\((x^{8})^{9}\)

MachtVanMacht (1)
004o - Machten herleiden - basis - 0ms - dynamic variables

a

\(x^{72}\)

1p

1p

b

\(a^{3} ⋅ (a^{6})^{8}\)

MachtVanMacht (2)
004p - Machten herleiden - basis - 0ms - dynamic variables

b

\(a^{3} ⋅ a^{48} = a^{51}\)

1p

1p

c

\(8 (p^{5})^{4} + 9 (p^{2})^{10}\)

MachtVanMacht (3)
004q - Machten herleiden - basis - 1ms - dynamic variables

c

\(8 p^{20} + 9 p^{20} = 17 p^{20}\)

1p

1p

d

\((4 a)^{6}\)

MachtVanProduct (1)
004r - Machten herleiden - basis - 0ms - dynamic variables

d

\(4\,096 a^{6}\)

1p

opgave 2

Herleid.

1p

a

\((-2 x)^{6}\)

MachtVanProduct (2)
004s - Machten herleiden - basis - 0ms - dynamic variables

a

\(64 x^{6}\)

1p

1p

b

\((x^{5} y^{2})^{6}\)

MachtVanProduct (4)
004t - Machten herleiden - basis - 0ms - dynamic variables

b

\(x^{30} y^{12}\)

1p

1p

c

\({a^{6} \over a^{2}}\)

Delen (1)
004u - Machten herleiden - basis - 1ms - dynamic variables

c

\(a^{4}\)

1p

1p

d

\({54 p^{8} q^{5} \over 6 p^{6} q}\)

Delen (3)
004v - Machten herleiden - basis - 1ms - dynamic variables

d

\(9 p^{2} q^{4}\)

1p

opgave 3

Herleid.

1p

a

\({4 x^{9} \over 9 x^{4}}\)

Delen (2)
004w - Machten herleiden - basis - 1ms - dynamic variables

a

\({4 \over 9} x^{5}\)

1p

1p

b

\((-2 a)^{5}\)

MachtVanProduct (3)
0052 - Machten herleiden - basis - 0ms - dynamic variables

b

\(-32 a^{5}\)

1p

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