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

\(6 x^{9} ⋅ 2 x^{7}\)

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

a

\(6 x^{9} ⋅ 2 x^{7} = 6 ⋅ 2 ⋅ x^{9 + 7} = 12 x^{16}\)

1p

1p

b

\(9 a^{6} ⋅ 8 a ⋅ 5 a^{7}\)

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

b

\(9 a^{6} ⋅ 8 a ⋅ 5 a^{7} = 9 ⋅ 8 ⋅ 5 ⋅ a^{6 + 1 + 7} = 360 a^{14}\)

1p

1p

c

\(-2 p^{6} q ⋅ -5 p^{4} q^{3}\)

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

c

\(10 p^{10} q^{4}\)

1p

1p

d

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

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

d

\(9 a^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(7 x + 11 y^{2}\)

1p

1p

b

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

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

b

\(18 x^{6} - 10 x^{6} = 8 x^{6}\)

1p

1p

c

\(3 p^{7} + 2 p^{9}\)

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

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

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

a

\(x^{14}\)

1p

1p

b

\(a^{4} ⋅ (a^{2})^{7}\)

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

b

\(a^{4} ⋅ a^{14} = a^{18}\)

1p

1p

c

\(6 (p^{3})^{16} + 2 (p^{2})^{24}\)

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

c

\(6 p^{48} + 2 p^{48} = 8 p^{48}\)

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

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

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

a

\(81 x^{4}\)

1p

1p

b

\((x^{3} y^{2})^{5}\)

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

b

\(x^{15} y^{10}\)

1p

1p

c

\({a^{9} \over a^{7}}\)

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

c

\(a^{2}\)

1p

1p

d

\({42 a^{9} b^{7} \over 6 a^{2} b^{3}}\)

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

d

\(7 a^{7} b^{4}\)

1p

opgave 3

Herleid.

1p

a

\({3 p^{8} \over 8 p^{3}}\)

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

a

\({3 \over 8} p^{5}\)

1p

1p

b

\((-2 x)^{5}\)

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

b

\(-32 x^{5}\)

1p

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