Getal & Ruimte (13e editie) - 3 havo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(2 p^{5} ⋅ 7 p^{6}\)

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

a

\(2 p^{5} ⋅ 7 p^{6} = 2 ⋅ 7 ⋅ p^{5 + 6} = 14 p^{11}\)

1p

1p

b

\(9 a^{2} ⋅ 3 a ⋅ 6 a^{7}\)

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

b

\(9 a^{2} ⋅ 3 a ⋅ 6 a^{7} = 9 ⋅ 3 ⋅ 6 ⋅ a^{2 + 1 + 7} = 162 a^{10}\)

1p

1p

c

\(6 x y^{4} ⋅ 2 x^{3} y^{5}\)

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

c

\(12 x^{4} y^{9}\)

1p

1p

d

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

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

d

\(9 x^{2}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(5 a^{6} + 8 b^{2}\)

1p

1p

b

\(2 x^{7} ⋅ 4 x - 6 x^{3} ⋅ 3 x^{5}\)

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

b

\(8 x^{8} - 18 x^{8} = -10 x^{8}\)

1p

1p

c

\(3 p^{7} + 6 p^{9}\)

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

\((a^{4})^{8}\)

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

a

\(a^{32}\)

1p

1p

b

\(p^{2} ⋅ (p^{8})^{6}\)

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

b

\(p^{2} ⋅ p^{48} = p^{50}\)

1p

1p

c

\(5 (a^{3})^{15} + 7 (a^{5})^{9}\)

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

c

\(5 a^{45} + 7 a^{45} = 12 a^{45}\)

1p

1p

d

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

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

d

\(729 x^{6}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(64 x^{6}\)

1p

1p

b

\((x^{3} y^{4})^{6}\)

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

b

\(x^{18} y^{24}\)

1p

1p

c

\({p^{6} \over p^{2}}\)

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

c

\(p^{4}\)

1p

1p

d

\({6 a^{9} b^{6} \over 2 a^{4} b^{2}}\)

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

d

\(3 a^{5} b^{4}\)

1p

opgave 3

Herleid.

1p

a

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

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

a

\({7 \over 8} a^{3}\)

1p

1p

b

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

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

b

\(-243 x^{5}\)

1p

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