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

\(7 a^{9} ⋅ 6 a^{5}\)

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

a

\(7 a^{9} ⋅ 6 a^{5} = 7 ⋅ 6 ⋅ a^{9 + 5} = 42 a^{14}\)

1p

1p

b

\(3 p^{2} ⋅ 9 p ⋅ 7 p^{4}\)

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

b

\(3 p^{2} ⋅ 9 p ⋅ 7 p^{4} = 3 ⋅ 9 ⋅ 7 ⋅ p^{2 + 1 + 4} = 189 p^{7}\)

1p

1p

c

\(6 a^{5} b ⋅ -3 a^{4} b^{2}\)

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

c

\(-18 a^{9} b^{3}\)

1p

1p

d

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

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

d

\(8 x^{4}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

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

1p

1p

b

\(2 x^{4} ⋅ 4 x - 6 x^{2} ⋅ 3 x^{3}\)

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

b

\(8 x^{5} - 18 x^{5} = -10 x^{5}\)

1p

1p

c

\(6 a^{7} + 2 a^{9}\)

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

c

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

1p

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