Getal & Ruimte (13e editie) - 2 havo/vwo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(3 a^{5} ⋅ 8 a^{6}\)

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

a

\(3 a^{5} ⋅ 8 a^{6} = 3 ⋅ 8 ⋅ a^{5 + 6} = 24 a^{11}\)

1p

1p

b

\(6 p^{2} ⋅ 8 p ⋅ 3 p^{5}\)

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

b

\(6 p^{2} ⋅ 8 p ⋅ 3 p^{5} = 6 ⋅ 8 ⋅ 3 ⋅ p^{2 + 1 + 5} = 144 p^{8}\)

1p

1p

c

\(5 x^{6} y ⋅ 4 x^{2} y^{3}\)

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

c

\(20 x^{8} y^{4}\)

1p

1p

d

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

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

d

\(9 x^{3}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(7 a + 11 b^{2}\)

1p

1p

b

\(3 p^{8} ⋅ 4 p - 5 p^{4} ⋅ 6 p^{5}\)

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

b

\(12 p^{9} - 30 p^{9} = -18 p^{9}\)

1p

1p

c

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

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

c

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

1p

2 havo/vwo 1.5 Machten herleiden

Machten herleiden (10)

opgave 1

Herleid.

1p

a

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

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

a

\(x^{15}\)

1p

1p

b

\(x^{2} ⋅ (x^{9})^{6}\)

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

b

\(x^{2} ⋅ x^{54} = x^{56}\)

1p

1p

c

\(3 (a^{3})^{10} + 7 (a^{5})^{6}\)

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

c

\(3 a^{30} + 7 a^{30} = 10 a^{30}\)

1p

1p

d

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

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

d

\(1\,296 a^{4}\)

1p

opgave 2

Herleid.

1p

a

\((-4 p)^{2}\)

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

a

\(16 p^{2}\)

1p

1p

b

\((p^{5} q^{4})^{2}\)

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

b

\(p^{10} q^{8}\)

1p

1p

c

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

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

c

\(x^{6}\)

1p

1p

d

\({72 x^{8} y^{5} \over 8 x y^{3}}\)

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

d

\(9 x^{7} y^{2}\)

1p

opgave 3

Herleid.

1p

a

\({3 a^{6} \over 7 a}\)

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

a

\({3 \over 7} a^{5}\)

1p

1p

b

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

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

b

\(-243 a^{5}\)

1p

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