From 7420ea9926c6cca698efa670d837a1cd753c4931 Mon Sep 17 00:00:00 2001 From: altaf-creator Date: Mon, 25 Sep 2023 06:13:47 +0700 Subject: Lockdown site --- lessons/matematika/pangkat-akar/pangkat.html | 139 --------------------------- 1 file changed, 139 deletions(-) delete mode 100644 lessons/matematika/pangkat-akar/pangkat.html (limited to 'lessons/matematika/pangkat-akar/pangkat.html') diff --git a/lessons/matematika/pangkat-akar/pangkat.html b/lessons/matematika/pangkat-akar/pangkat.html deleted file mode 100644 index 7293e93..0000000 --- a/lessons/matematika/pangkat-akar/pangkat.html +++ /dev/null @@ -1,139 +0,0 @@ - - - - - - - - - - Al Azhar 9th Grade Lesson Notes - - - - - - - - -

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✅ Verified

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Exponents

- xⁿ = x₁ × x₂ × ... × x_n -

Examples

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2⁵ = 2 × 2 × 2 × 2 × 2 = 32
5⁷ = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78.125

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Exponent Operations

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Multiplication

- a^x × b^y = (a × b)^{x + y} -

10⁴ × 2² = (10 × 2)^{4 + 2} = 20⁶

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Division

- a^x ÷ b^y = (a ÷ b)^{x - y} -

10³ ÷ 2⁴ = (10 ÷ 2)^{4 - 2} = 5²

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Exponent

- (a^x)^y = a^{x × y} -

(2²)³ = 2^{2 × 3} = 2⁶ = 64

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Zero Exponent

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a⁰ = 1

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Examples

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5⁰ = 1
7⁰ = 1
100⁰ = 1
28,67⁰ = 1

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One Exponent

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a¹ = a

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Examples

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5¹ = 5
7¹ = 7
100¹ = 100
28,67¹ = 28,67

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Fractional Exponent

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x ^{^y⁄_z} = - ^zx^y

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Examples

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5 ^¹⁄₂ = - ²5
7 ^²⁄₃ = - ³7²

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Small Note: 2x or x menans square root. The 2 before root should be removed. The 2 is only present for easier purposes.
3x means cubic root.

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Exponential Equation

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2^{x + 5} = 64
- = 2^{x + 5} = 2⁶ _{↖ ubah ke bentuk 2 berpangkat (2^x)}
- = x + 5 = 6
- = x = 1 -
16^{x + 2} = 32
- = (2⁴)^{x + 2} = 2⁵
- = 2^{4x + 8} = 2⁵
- = 4x + 8 = 5
- = 4x = 5 - 8
- = 4x = -3
- = x = ^-3⁄₄ = -³⁄₄ -

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