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

\(3 x^{4} ⋅ 6 x^{5}\)

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

a

\(3 x^{4} ⋅ 6 x^{5} = 3 ⋅ 6 ⋅ x^{4 + 5} = 18 x^{9}\)

1p

1p

b

\(5 p^{7} ⋅ 6 p ⋅ 4 p^{3}\)

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

b

\(5 p^{7} ⋅ 6 p ⋅ 4 p^{3} = 5 ⋅ 6 ⋅ 4 ⋅ p^{7 + 1 + 3} = 120 p^{11}\)

1p

1p

c

\(-6 x^{2} y^{4} ⋅ -5 x^{3} y\)

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

c

\(30 x^{5} y^{5}\)

1p

1p

d

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

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

d

\(8 a^{2}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(11 a^{2} + 5 b^{3}\)

1p

1p

b

\(4 p^{4} ⋅ 5 p^{2} - 3 p^{5} ⋅ 6 p\)

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

b

\(20 p^{6} - 18 p^{6} = 2 p^{6}\)

1p

1p

c

\(3 x^{7} + 2 x^{9}\)

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

c

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

1p

"