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

\(2 p^{6} ⋅ 4 p^{7}\)

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

a

\(2 p^{6} ⋅ 4 p^{7} = 2 ⋅ 4 ⋅ p^{6 + 7} = 8 p^{13}\)

1p

1p

b

\(3 a^{4} ⋅ 2 a ⋅ 6 a^{8}\)

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

b

\(3 a^{4} ⋅ 2 a ⋅ 6 a^{8} = 3 ⋅ 2 ⋅ 6 ⋅ a^{4 + 1 + 8} = 36 a^{13}\)

1p

1p

c

\(2 x^{4} y ⋅ 6 x^{5} y^{3}\)

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

c

\(12 x^{9} y^{4}\)

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

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

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

a

\(8 a^{6} + 5 b^{2}\)

1p

1p

b

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

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

b

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

1p

1p

c

\(3 a^{5} + 4 a^{9}\)

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

c

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

1p

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