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

\(3 a^{6} ⋅ 2 a^{4}\)

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

a

\(3 a^{6} ⋅ 2 a^{4} = 3 ⋅ 2 ⋅ a^{6 + 4} = 6 a^{10}\)

1p

1p

b

\(7 x^{4} ⋅ 5 x ⋅ 2 x^{9}\)

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

b

\(7 x^{4} ⋅ 5 x ⋅ 2 x^{9} = 7 ⋅ 5 ⋅ 2 ⋅ x^{4 + 1 + 9} = 70 x^{14}\)

1p

1p

c

\(4 x^{2} y^{3} ⋅ 5 x^{6} y\)

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

c

\(20 x^{8} y^{4}\)

1p

1p

d

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

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

d

\(10 p^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

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

1p

1p

b

\(5 a^{2} ⋅ 4 a^{3} - 3 a^{4} ⋅ 2 a\)

Optellen (3)
004n - Machten herleiden - basis - 1ms - dynamic variables

b

\(20 a^{5} - 6 a^{5} = 14 a^{5}\)

1p

1p

c

\(4 p^{5} + 5 p^{7}\)

OptellenKN
004z - Machten herleiden - basis - 1ms - dynamic variables

c

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

1p

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