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

\(9 p^{6} ⋅ 3 p^{8}\)

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

a

\(9 p^{6} ⋅ 3 p^{8} = 9 ⋅ 3 ⋅ p^{6 + 8} = 27 p^{14}\)

1p

1p

b

\(3 x^{8} ⋅ 2 x ⋅ 6 x^{5}\)

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

b

\(3 x^{8} ⋅ 2 x ⋅ 6 x^{5} = 3 ⋅ 2 ⋅ 6 ⋅ x^{8 + 1 + 5} = 36 x^{14}\)

1p

1p

c

\(4 x^{6} y^{3} ⋅ -2 x^{5} y\)

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

c

\(-8 x^{11} y^{4}\)

1p

1p

d

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

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

d

\(8 a^{4}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(9 a^{4} + 6 b^{2}\)

1p

1p

b

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

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

b

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

1p

1p

c

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

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

c

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

1p

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