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

\(5 a^{3} ⋅ 8 a^{6}\)

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

a

\(5 a^{3} ⋅ 8 a^{6} = 5 ⋅ 8 ⋅ a^{3 + 6} = 40 a^{9}\)

1p

1p

b

\(2 x^{4} ⋅ 9 x ⋅ 5 x^{7}\)

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

b

\(2 x^{4} ⋅ 9 x ⋅ 5 x^{7} = 2 ⋅ 9 ⋅ 5 ⋅ x^{4 + 1 + 7} = 90 x^{12}\)

1p

1p

c

\(-2 a b^{5} ⋅ 3 a^{6} b^{4}\)

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

c

\(-6 a^{7} b^{9}\)

1p

1p

d

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

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

d

\(8 x^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

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

1p

1p

b

\(5 x ⋅ 2 x^{8} - 6 x^{2} ⋅ 4 x^{7}\)

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

b

\(10 x^{9} - 24 x^{9} = -14 x^{9}\)

1p

1p

c

\(6 a^{7} + 5 a^{5}\)

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

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

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

a

\(p^{8}\)

1p

1p

b

\(x^{9} ⋅ (x^{2})^{4}\)

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

b

\(x^{9} ⋅ x^{8} = x^{17}\)

1p

1p

c

\(7 (x^{2})^{24} + 9 (x^{3})^{16}\)

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

c

\(7 x^{48} + 9 x^{48} = 16 x^{48}\)

1p

1p

d

\((2 a)^{4}\)

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

d

\(16 a^{4}\)

1p

opgave 2

Herleid.

1p

a

\((-4 a)^{2}\)

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

a

\(16 a^{2}\)

1p

1p

b

\((a^{5} b^{3})^{4}\)

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

b

\(a^{20} b^{12}\)

1p

1p

c

\({x^{6} \over x^{4}}\)

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

c

\(x^{2}\)

1p

1p

d

\({48 p^{9} q^{8} \over 8 p^{4} q}\)

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

d

\(6 p^{5} q^{7}\)

1p

opgave 3

Herleid.

1p

a

\({5 x^{7} \over 8 x^{4}}\)

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

a

\({5 \over 8} x^{3}\)

1p

1p

b

\((-6 a)^{3}\)

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

b

\(-216 a^{3}\)

1p

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