Getal & Ruimte (13e editie) - 3 havo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(4 x^{8} ⋅ 5 x^{6}\)

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

a

\(4 x^{8} ⋅ 5 x^{6} = 4 ⋅ 5 ⋅ x^{8 + 6} = 20 x^{14}\)

1p

1p

b

\(2 a^{9} ⋅ 3 a ⋅ 8 a^{7}\)

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

b

\(2 a^{9} ⋅ 3 a ⋅ 8 a^{7} = 2 ⋅ 3 ⋅ 8 ⋅ a^{9 + 1 + 7} = 48 a^{17}\)

1p

1p

c

\(-6 p q^{2} ⋅ 5 p^{3} q^{4}\)

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

c

\(-30 p^{4} q^{6}\)

1p

1p

d

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

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

d

\(8 a^{2}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(5 x^{6} + 5 y^{5}\)

1p

1p

b

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

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

b

\(12 x^{9} - 10 x^{9} = 2 x^{9}\)

1p

1p

c

\(5 x^{9} + 4 x^{6}\)

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

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

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

a

\(a^{42}\)

1p

1p

b

\(x^{6} ⋅ (x^{3})^{7}\)

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

b

\(x^{6} ⋅ x^{21} = x^{27}\)

1p

1p

c

\(8 (p^{5})^{4} + 5 (p^{2})^{10}\)

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

c

\(8 p^{20} + 5 p^{20} = 13 p^{20}\)

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

\((-3 a)^{2}\)

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

a

\(9 a^{2}\)

1p

1p

b

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

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

b

\(x^{18} y^{6}\)

1p

1p

c

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

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

c

\(p^{5}\)

1p

1p

d

\({32 x^{9} y^{7} \over 4 x^{7} y}\)

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

d

\(8 x^{2} y^{6}\)

1p

opgave 3

Herleid.

1p

a

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

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

a

\({5 \over 8} a^{2}\)

1p

1p

b

\((-6 a)^{3}\)

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

b

\(-216 a^{3}\)

1p

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