Getal & Ruimte (13e editie) - 2 vwo

'Machten herleiden'.

1 vwo 8.5 Machten en letters

Machten herleiden (10)

opgave 1

Herleid.

1p

a

\(5 x^{2} ⋅ 6 x^{7}\)

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

a

\(5 x^{2} ⋅ 6 x^{7} = 5 ⋅ 6 ⋅ x^{2 + 7} = 30 x^{9}\)

1p

1p

b

\(8 x^{7} ⋅ 2 x ⋅ 9 x^{6}\)

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

b

\(8 x^{7} ⋅ 2 x ⋅ 9 x^{6} = 8 ⋅ 2 ⋅ 9 ⋅ x^{7 + 1 + 6} = 144 x^{14}\)

1p

1p

c

\(-3 a b^{2} ⋅ 4 a^{6} b^{5}\)

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

c

\(-12 a^{7} b^{7}\)

1p

1p

d

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

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

d

\(9 a^{2}\)

1p

opgave 2

Herleid.

1p

a

\(p^{4} + 6 q^{3} + 5 p^{4} + 2 q^{3}\)

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

a

\(6 p^{4} + 8 q^{3}\)

1p

1p

b

\(4 a^{4} ⋅ 5 a^{4} - 3 a^{6} ⋅ 2 a^{2}\)

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

b

\(20 a^{8} - 6 a^{8} = 14 a^{8}\)

1p

1p

c

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

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

c

\(a^{5}\)

1p

1p

d

\({16 x^{8} y^{8} \over 2 x y^{2}}\)

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

d

\(8 x^{7} y^{6}\)

1p

opgave 3

Herleid.

1p

a

\({2 p^{6} \over 9 p^{2}}\)

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

a

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

1p

1p

b

\(2 x^{5} + 6 x^{9}\)

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

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

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

a

\(x^{21}\)

1p

1p

b

\(p^{3} ⋅ (p^{7})^{4}\)

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

b

\(p^{3} ⋅ p^{28} = p^{31}\)

1p

1p

c

\(9 (x^{3})^{16} + 5 (x^{2})^{24}\)

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

c

\(9 x^{48} + 5 x^{48} = 14 x^{48}\)

1p

1p

d

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

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

d

\(7\,776 a^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

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

1p

1p

b

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

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

b

\(x^{24} y^{30}\)

1p

1p

c

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

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

c

\(-32 a^{5}\)

1p

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