Getal & Ruimte (13e editie) - 2 vwo

'Machten herleiden'.

1 vwo 8.5 Machten en letters

Machten herleiden (10)

opgave 1

Herleid.

1p

a

\(3 x^{5} ⋅ 9 x^{4}\)

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

a

\(3 x^{5} ⋅ 9 x^{4} = 3 ⋅ 9 ⋅ x^{5 + 4} = 27 x^{9}\)

1p

1p

b

\(3 a^{6} ⋅ 5 a ⋅ 7 a^{2}\)

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

b

\(3 a^{6} ⋅ 5 a ⋅ 7 a^{2} = 3 ⋅ 5 ⋅ 7 ⋅ a^{6 + 1 + 2} = 105 a^{9}\)

1p

1p

c

\(-a^{5} b^{2} ⋅ 3 a^{6} b^{4}\)

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

c

\(-3 a^{11} b^{6}\)

1p

1p

d

\(4 p^{6} + 5 p^{6}\)

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

d

\(9 p^{6}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(6 x^{2} + 7 y^{6}\)

1p

1p

b

\(3 p^{3} ⋅ 5 p^{2} - 6 p^{4} ⋅ 4 p\)

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

b

\(15 p^{5} - 24 p^{5} = -9 p^{5}\)

1p

1p

c

\({x^{9} \over x^{4}}\)

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

c

\(x^{5}\)

1p

1p

d

\({32 a^{8} b^{7} \over 8 a^{6} b}\)

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

d

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

1p

opgave 3

Herleid.

1p

a

\({2 a^{6} \over 9 a}\)

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

a

\({2 \over 9} a^{5}\)

1p

1p

b

\(5 x^{6} + 3 x^{7}\)

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

b

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

1p

2 vwo 1.4 Machten herleiden

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\((a^{4})^{9}\)

MachtVanMacht (1)
004o - Machten herleiden - basis - 0ms - dynamic variables

a

\(a^{36}\)

1p

1p

b

\(p^{4} ⋅ (p^{2})^{5}\)

MachtVanMacht (2)
004p - Machten herleiden - basis - 0ms - dynamic variables

b

\(p^{4} ⋅ p^{10} = p^{14}\)

1p

1p

c

\(8 (x^{2})^{9} + 3 (x^{3})^{6}\)

MachtVanMacht (3)
004q - Machten herleiden - basis - 1ms - dynamic variables

c

\(8 x^{18} + 3 x^{18} = 11 x^{18}\)

1p

1p

d

\((4 x)^{2}\)

MachtVanProduct (1)
004r - Machten herleiden - basis - 0ms - dynamic variables

d

\(16 x^{2}\)

1p

opgave 2

Herleid.

1p

a

\((-2 a)^{6}\)

MachtVanProduct (2)
004s - Machten herleiden - basis - 0ms - dynamic variables

a

\(64 a^{6}\)

1p

1p

b

\((x y^{4})^{3}\)

MachtVanProduct (4)
004t - Machten herleiden - basis - 0ms - dynamic variables

b

\(x^{3} y^{12}\)

1p

1p

c

\((-5 a)^{3}\)

MachtVanProduct (3)
0052 - Machten herleiden - basis - 0ms - dynamic variables

c

\(-125 a^{3}\)

1p

"