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

\(6 a^{3} ⋅ 2 a^{8}\)

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

a

\(6 a^{3} ⋅ 2 a^{8} = 6 ⋅ 2 ⋅ a^{3 + 8} = 12 a^{11}\)

1p

1p

b

\(9 x^{6} ⋅ 4 x ⋅ 8 x^{7}\)

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

b

\(9 x^{6} ⋅ 4 x ⋅ 8 x^{7} = 9 ⋅ 4 ⋅ 8 ⋅ x^{6 + 1 + 7} = 288 x^{14}\)

1p

1p

c

\(2 x^{6} y^{3} ⋅ x^{4} y^{5}\)

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

c

\(2 x^{10} y^{8}\)

1p

1p

d

\(3 p^{4} + 6 p^{4}\)

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

d

\(9 p^{4}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(7 a^{3} + 7 b^{4}\)

1p

1p

b

\(6 p ⋅ 3 p^{5} - 2 p^{3} ⋅ 5 p^{3}\)

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

b

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

1p

1p

c

\(3 x^{9} + 5 x^{7}\)

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

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

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

a

\(p^{10}\)

1p

1p

b

\(x^{7} ⋅ (x^{4})^{5}\)

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

b

\(x^{7} ⋅ x^{20} = x^{27}\)

1p

1p

c

\(5 (a^{2})^{18} + 9 (a^{3})^{12}\)

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

c

\(5 a^{36} + 9 a^{36} = 14 a^{36}\)

1p

1p

d

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

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

d

\(15\,625 a^{6}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(36 x^{2}\)

1p

1p

b

\((a^{5} b^{3})^{2}\)

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

b

\(a^{10} b^{6}\)

1p

1p

c

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

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

c

\(a^{6}\)

1p

1p

d

\({16 x^{8} y^{3} \over 2 x y}\)

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

d

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

1p

opgave 3

Herleid.

1p

a

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

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

a

\({5 \over 9} p^{3}\)

1p

1p

b

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

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

b

\(-243 x^{5}\)

1p

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