9.2 9.3 rekenen met machten

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9.2: 12, 14, 15, 16, 18, 19, 20

9.3: 23, 26, 27

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Slide 1: Diapositive

WiskundeMiddelbare schoolhavoLeerjaar 3

Cette leçon contient 27 diapositives, avec diapositives de texte.

Éléments de cette leçon

weektaak

9.2: 12, 14, 15, 16, 18, 19, 20

9.3: 23, 26, 27

Slide 1 - Diapositive

Rekenen met breuken

Slide 2 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​}

Slide 3 - Diapositive

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x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​}

Slide 4 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​}

Slide 5 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​}

Slide 6 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

Slide 7 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

Slide 8 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​}

Slide 9 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ​ ​}{​ 4 ​} \cdot \frac{​ 1 ​ ​}{​ 4 ​}

Slide 10 - Diapositive

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x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ​ ​}{​ 4 ​} \cdot \frac{​ 1 ​ ​}{​ 4 ​} = \frac{​ 1 ​ ​}{​ 1 6 ​}

Slide 11 - Diapositive

Rekenen met machten

x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ​ ​}{​ 4 ​} \cdot \frac{​ 1 ​ ​}{​ 4 ​} = \frac{​ 1 ​ ​}{​ 1 6 ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

Slide 12 - Diapositive

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x^{​ 3 ​ ​} \cdot x^{​ 4 ​ ​} = x^{​ 7 ​ ​}

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

Slide 13 - Diapositive

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(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(2 \cdot x)^{​ 3 ​ ​}

Slide 14 - Diapositive

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(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(2 \cdot x)^{​ 3 ​ ​} = 8 x^{​ 3 ​ ​}

Slide 15 - Diapositive

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(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(2 \cdot x)^{​ 3 ​ ​} = 8 x^{​ 3 ​ ​}

2 x^{​ 3 ​ ​} = 2 x^{​ 3 ​ ​}

Let op het verschil

Slide 16 - Diapositive

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(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(2 \cdot x)^{​ 3 ​ ​} = 8 x^{​ 3 ​ ​}

(a \cdot b)^{​ 3 ​ ​} = a^{​ 3 ​ ​} \cdot b^{​ 3 ​ ​}

Slide 17 - Diapositive

Rekenen met machten

(x^{​ 3 ​ ​})^{​ 4 ​ ​} = x^{​ 12 ​ ​}

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ 1 ​ ​}{​ 4 ​})^{​ 2 ​ ​} = \frac{​ 1 ^{​ 2 ​ ​} ​ ​}{​ 4 ^{​ 2 ​ ​} ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(2 \cdot x)^{​ 3 ​ ​} = 8 x^{​ 3 ​ ​}

(a \cdot b)^{​ n ​ ​} = a^{​ n ​ ​} \cdot b^{​ n ​ ​}

Slide 18 - Diapositive

Rekenregels machten

(x^{​ p ​ ​})^{​ q ​ ​} = x^{​ p q ​ ​}

(\frac{​ a ​ ​}{​ b ​})^{​ p ​ ​} = \frac{​ a ^{​ p ​ ​} ​ ​}{​ b ^{​ p ​ ​} ​}

(a \cdot b)^{​ n ​ ​} = a^{​ n ​ ​} \cdot b^{​ n ​ ​}

x^{​ a ​ ​} \cdot x^{​ b ​ ​} = x^{​ a + b ​ ​}

Slide 19 - Diapositive

Voorbeeldje

(3 a^{​ 2 ​ ​} b c^{​ 5 ​ ​})^{​ 4 ​ ​}

Slide 20 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

Slide 21 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

(3^{​ 4 ​ ​} \cdot (a^{​ 2 ​ ​})^{​ 4 ​ ​} \cdot b^{​ 4 ​ ​} \cdot (c^{​ 5 ​ ​})^{​ 4 ​ ​})

Slide 22 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

(3^{​ 4 ​ ​} \cdot (a^{​ 2 ​ ​})^{​ 4 ​ ​} \cdot b^{​ 4 ​ ​} \cdot (c^{​ 5 ​ ​})^{​ 4 ​ ​})

(81 \cdot a^{​ 8 ​ ​} \cdot b^{​ 4 ​ ​} \cdot c^{​ 20 ​ ​})

Slide 23 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

(3^{​ 4 ​ ​} \cdot (a^{​ 2 ​ ​})^{​ 4 ​ ​} \cdot b^{​ 4 ​ ​} \cdot (c^{​ 5 ​ ​})^{​ 4 ​ ​})

81 \cdot a^{​ 8 ​ ​} \cdot b^{​ 4 ​ ​} \cdot c^{​ 20 ​ ​}

Slide 24 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

(3^{​ 4 ​ ​} \cdot (a^{​ 2 ​ ​})^{​ 4 ​ ​} \cdot b^{​ 4 ​ ​} \cdot (c^{​ 5 ​ ​})^{​ 4 ​ ​})

81 \cdot a^{​ 8 ​ ​} \cdot b^{​ 4 ​ ​} \cdot c^{​ 20 ​ ​}

Slide 25 - Diapositive

Voorbeeldje

(3 \cdot a^{​ 2 ​ ​} \cdot b \cdot c^{​ 5 ​ ​})^{​ 4 ​ ​}

(3^{​ 4 ​ ​} \cdot (a^{​ 2 ​ ​})^{​ 4 ​ ​} \cdot b^{​ 4 ​ ​} \cdot (c^{​ 5 ​ ​})^{​ 4 ​ ​})

81 \cdot a^{​ 8 ​ ​} \cdot b^{​ 4 ​ ​} \cdot c^{​ 20 ​ ​}

81 a^{​ 8 ​ ​} b^{​ 4 ​ ​} c^{​ 20 ​ ​}

Slide 26 - Diapositive

weektaak

9.2: 12, 14, 15, 16, 18, 19, 20

9.3: 23, 26, 27

Slide 27 - Diapositive

9.2 9.3 rekenen met machten

Éléments de cette leçon

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