Getal & Ruimte (13e editie) - 2 vwo

'Machten herleiden'.

1 vwo 8.5 Machten en letters

Machten herleiden (10)

opgave 1

Herleid.

1p

a

\(5 x^{4} ⋅ 6 x^{9}\)

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

a

\(5 x^{4} ⋅ 6 x^{9} = 5 ⋅ 6 ⋅ x^{4 + 9} = 30 x^{13}\)

1p

1p

b

\(3 a^{9} ⋅ 7 a ⋅ 5 a^{6}\)

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

b

\(3 a^{9} ⋅ 7 a ⋅ 5 a^{6} = 3 ⋅ 7 ⋅ 5 ⋅ a^{9 + 1 + 6} = 105 a^{16}\)

1p

1p

c

\(-4 a^{3} b ⋅ 6 a^{5} b^{2}\)

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

c

\(-24 a^{8} b^{3}\)

1p

1p

d

\(2 p^{6} + 3 p^{6}\)

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

d

\(5 p^{6}\)

1p

opgave 2

Herleid.

1p

a

\(x^{4} + 6 y^{3} + 2 x^{4} + 5 y^{3}\)

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

a

\(3 x^{4} + 11 y^{3}\)

1p

1p

b

\(2 a^{2} ⋅ 3 a^{3} - 6 a^{4} ⋅ 5 a\)

Optellen (3)
004n - Machten herleiden - basis - 0ms - dynamic variables

b

\(6 a^{5} - 30 a^{5} = -24 a^{5}\)

1p

1p

c

\({x^{7} \over x^{2}}\)

Delen (1)
004u - Machten herleiden - basis - 0ms - dynamic variables

c

\(x^{5}\)

1p

1p

d

\({24 a^{8} b^{6} \over 3 a^{6} b}\)

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

d

\(8 a^{2} b^{5}\)

1p

opgave 3

Herleid.

1p

a

\({3 x^{9} \over 8 x}\)

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

a

\({3 \over 8} x^{8}\)

1p

1p

b

\(3 p^{6} + 4 p^{7}\)

OptellenKN
004z - Machten herleiden - basis - 0ms - dynamic variables

b

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

1p

2 vwo 1.4 Machten herleiden

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\((p^{7})^{3}\)

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

a

\(p^{21}\)

1p

1p

b

\(x^{9} ⋅ (x^{8})^{4}\)

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

b

\(x^{9} ⋅ x^{32} = x^{41}\)

1p

1p

c

\(2 (a^{5})^{4} + 4 (a^{2})^{10}\)

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

c

\(2 a^{20} + 4 a^{20} = 6 a^{20}\)

1p

1p

d

\((4 a)^{5}\)

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

d

\(1\,024 a^{5}\)

1p

opgave 2

Herleid.

1p

a

\((-3 x)^{2}\)

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

a

\(9 x^{2}\)

1p

1p

b

\((x^{6} y^{5})^{4}\)

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

b

\(x^{24} y^{20}\)

1p

1p

c

\((-3 a)^{5}\)

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

c

\(-243 a^{5}\)

1p

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