Getal & Ruimte (13e editie) - 1 havo/vwo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(3 x^{4} ⋅ 7 x^{5}\)

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

a

\(3 x^{4} ⋅ 7 x^{5} = 3 ⋅ 7 ⋅ x^{4 + 5} = 21 x^{9}\)

1p

1p

b

\(9 x^{6} ⋅ 2 x ⋅ 4 x^{5}\)

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

b

\(9 x^{6} ⋅ 2 x ⋅ 4 x^{5} = 9 ⋅ 2 ⋅ 4 ⋅ x^{6 + 1 + 5} = 72 x^{12}\)

1p

1p

c

\(-5 a^{2} b ⋅ 6 a^{4} b^{3}\)

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

c

\(-30 a^{6} b^{4}\)

1p

1p

d

\(3 p^{5} + 4 p^{5}\)

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

d

\(7 p^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(4 a^{6} + 7 b^{4}\)

1p

1p

b

\(3 a ⋅ 4 a^{4} - 5 a^{2} ⋅ 2 a^{3}\)

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

b

\(12 a^{5} - 10 a^{5} = 2 a^{5}\)

1p

1p

c

\(2 x^{5} + 5 x^{7}\)

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

c

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

1p

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