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

\(5 x^{6} ⋅ 8 x^{9}\)

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

a

\(5 x^{6} ⋅ 8 x^{9} = 5 ⋅ 8 ⋅ x^{6 + 9} = 40 x^{15}\)

1p

1p

b

\(2 p^{5} ⋅ 9 p ⋅ 8 p^{6}\)

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

b

\(2 p^{5} ⋅ 9 p ⋅ 8 p^{6} = 2 ⋅ 9 ⋅ 8 ⋅ p^{5 + 1 + 6} = 144 p^{12}\)

1p

1p

c

\(-3 a^{5} b^{4} ⋅ a^{6} b^{2}\)

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

c

\(-3 a^{11} b^{6}\)

1p

1p

d

\(6 a^{3} + 5 a^{3}\)

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

d

\(11 a^{3}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(11 x + 7 y^{2}\)

1p

1p

b

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

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

b

\(6 p^{6} - 30 p^{6} = -24 p^{6}\)

1p

1p

c

\(4 a^{9} + 2 a^{8}\)

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

c

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

1p

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