Getal & Ruimte (13e editie) - 1 vwo

'Machten herleiden'.

1 vwo 8.5 Machten en letters

Machten herleiden (10)

opgave 1

Herleid.

1p

a

\(4 a^{2} ⋅ 8 a^{3}\)

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

a

\(4 a^{2} ⋅ 8 a^{3} = 4 ⋅ 8 ⋅ a^{2 + 3} = 32 a^{5}\)

1p

1p

b

\(6 x^{7} ⋅ 3 x ⋅ 4 x^{8}\)

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

b

\(6 x^{7} ⋅ 3 x ⋅ 4 x^{8} = 6 ⋅ 3 ⋅ 4 ⋅ x^{7 + 1 + 8} = 72 x^{16}\)

1p

1p

c

\(5 x y^{4} ⋅ 6 x^{2} y^{3}\)

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

c

\(30 x^{3} y^{7}\)

1p

1p

d

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

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

d

\(7 p^{3}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(11 a^{4} + 4 b^{2}\)

1p

1p

b

\(2 a ⋅ 3 a^{5} - 5 a^{3} ⋅ 4 a^{3}\)

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

b

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

1p

1p

c

\({p^{9} \over p^{3}}\)

Delen (1)
004u - Machten herleiden - basis - 0ms - dynamic variables

c

\(p^{6}\)

1p

1p

d

\({24 a^{6} b^{4} \over 4 a^{4} b}\)

Delen (3)
004v - Machten herleiden - basis - 1ms - dynamic variables

d

\(6 a^{2} b^{3}\)

1p

opgave 3

Herleid.

1p

a

\({7 x^{7} \over 8 x^{2}}\)

Delen (2)
004w - Machten herleiden - basis - 1ms - dynamic variables

a

\({7 \over 8} x^{5}\)

1p

1p

b

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

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

b

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

1p

"