Getal & Ruimte (13e editie) - 3 havo

'Machten herleiden'.

1 havo/vwo 8.5 Machten en letters

Machten herleiden (7)

opgave 1

Herleid.

1p

a

\(7 p^{4} ⋅ 5 p^{8}\)

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

a

\(7 p^{4} ⋅ 5 p^{8} = 7 ⋅ 5 ⋅ p^{4 + 8} = 35 p^{12}\)

1p

1p

b

\(2 x^{9} ⋅ 5 x ⋅ 8 x^{3}\)

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

b

\(2 x^{9} ⋅ 5 x ⋅ 8 x^{3} = 2 ⋅ 5 ⋅ 8 ⋅ x^{9 + 1 + 3} = 80 x^{13}\)

1p

1p

c

\(5 x y^{6} ⋅ 3 x^{2} y^{4}\)

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

c

\(15 x^{3} y^{10}\)

1p

1p

d

\(4 a^{5} + 6 a^{5}\)

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

d

\(10 a^{5}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

\(5 a + 10 b^{5}\)

1p

1p

b

\(5 x^{6} ⋅ 6 x - 3 x^{4} ⋅ 2 x^{3}\)

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

b

\(30 x^{7} - 6 x^{7} = 24 x^{7}\)

1p

1p

c

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

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

\((x^{3})^{8}\)

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

a

\(x^{24}\)

1p

1p

b

\(a^{6} ⋅ (a^{7})^{9}\)

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

b

\(a^{6} ⋅ a^{63} = a^{69}\)

1p

1p

c

\(9 (p^{3})^{14} + 6 (p^{7})^{6}\)

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

c

\(9 p^{42} + 6 p^{42} = 15 p^{42}\)

1p

1p

d

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

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

d

\(1\,296 x^{4}\)

1p

opgave 2

Herleid.

1p

a

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

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

a

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

1p

1p

b

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

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

b

\(a^{5} b^{10}\)

1p

1p

c

\({x^{9} \over x^{6}}\)

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

c

\(x^{3}\)

1p

1p

d

\({35 x^{8} y^{9} \over 5 x y}\)

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

d

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

1p

opgave 3

Herleid.

1p

a

\({3 a^{5} \over 7 a^{3}}\)

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

a

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

1p

1p

b

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

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

b

\(-1\,024 p^{5}\)

1p

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