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

\(8 a^{6} ⋅ 5 a^{4}\)

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

a

\(8 a^{6} ⋅ 5 a^{4} = 8 ⋅ 5 ⋅ a^{6 + 4} = 40 a^{10}\)

1p

1p

b

\(8 p^{4} ⋅ 2 p ⋅ 5 p^{9}\)

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

b

\(8 p^{4} ⋅ 2 p ⋅ 5 p^{9} = 8 ⋅ 2 ⋅ 5 ⋅ p^{4 + 1 + 9} = 80 p^{14}\)

1p

1p

c

\(-x^{3} y^{4} ⋅ 2 x^{6} y^{5}\)

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

c

\(-2 x^{9} y^{9}\)

1p

1p

d

\(3 x^{5} + 2 x^{5}\)

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

d

\(5 x^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(9 a^{2} + 5 b^{5}\)

1p

1p

b

\(3 a^{3} ⋅ 4 a^{6} - 6 a^{8} ⋅ 2 a\)

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

b

\(12 a^{9} - 12 a^{9}\)

1p

1p

c

\(2 a^{5} + 6 a^{7}\)

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

c

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

1p

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