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

+ xn = x1 × x2 × ... × xn +

Examples

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

Exponent Operations

+

Multiplication

+ ax × by = (a × b)x + y +
    +
  • 104 × 22 = (10 × 2)4 + 2 = 206
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+

Division

+ ax ÷ by = (a ÷ b)x - y +
    +
  • 103 ÷ 24 = (10 ÷ 2)4 - 2 = 52
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+

Exponent

+ (ax)y = ax × y +
    +
  • (22)3 = 22 × 3 = 26 = 64
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+ +

Zero Exponent

+

a0 = 1

+

Examples

+
    +
  • 50 = 1
    • +
  • 70 = 1
    • +
  • 1000 = 1
    • +
  • 28,670 = 1
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+

One Exponent

+

a1 = a

+

Examples

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

Fractional Exponent

+ +

x y⁄z = + zxy

+

Examples

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