Getal & Ruimte (13e editie) - 3 havo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(3 x^{6} ⋅ 8 x^{2}\)

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

a

\(3 x^{6} ⋅ 8 x^{2} = 3 ⋅ 8 ⋅ x^{6 + 2} = 24 x^{8}\)

1p

1p

b

\(4 a^{6} ⋅ 9 a ⋅ 8 a^{2}\)

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

b

\(4 a^{6} ⋅ 9 a ⋅ 8 a^{2} = 4 ⋅ 9 ⋅ 8 ⋅ a^{6 + 1 + 2} = 288 a^{9}\)

1p

1p

c

\(4 a^{3} b^{6} ⋅ -5 a^{2} b\)

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

c

\(-20 a^{5} b^{7}\)

1p

1p

d

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

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

d

\(9 x^{2}\)

1p

opgave 2

Herleid.

1p

a

\(p^{4} + 3 q^{2} + 6 p^{4} + 5 q^{2}\)

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

a

\(7 p^{4} + 8 q^{2}\)

1p

1p

b

\(6 p^{2} ⋅ 5 p^{6} - 3 p^{3} ⋅ 4 p^{5}\)

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

b

\(30 p^{8} - 12 p^{8} = 18 p^{8}\)

1p

1p

c

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

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

\((p^{3})^{4}\)

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

a

\(p^{12}\)

1p

1p

b

\(x^{6} ⋅ (x^{2})^{3}\)

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

b

\(x^{6} ⋅ x^{6} = x^{12}\)

1p

1p

c

\(5 (a^{3})^{6} + 6 (a^{2})^{9}\)

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

c

\(5 a^{18} + 6 a^{18} = 11 a^{18}\)

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

\((-5 a)^{4}\)

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

a

\(625 a^{4}\)

1p

1p

b

\((x^{4} y^{2})^{6}\)

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

b

\(x^{24} y^{12}\)

1p

1p

c

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

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

c

\(a^{6}\)

1p

1p

d

\({35 a^{8} b^{7} \over 5 a^{5} b^{5}}\)

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

d

\(7 a^{3} b^{2}\)

1p

opgave 3

Herleid.

1p

a

\({7 x^{5} \over 8 x^{3}}\)

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

a

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

1p

1p

b

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

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

b

\(-125 p^{3}\)

1p

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