sifat sifat eksponen ?
nt : request soal yuk
Sifat-sifat Eksponen :
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[tex]\sf {a}^{m} \div {a}^{n} = {a}^{(m-n)}[/tex]
[tex]\sf {a}^{m} \times {a}^{n} = {a}^{(m+n)}[/tex]
[tex]\sf { {(a}^{m}) }^{n} = {a}^{m \times n}[/tex]
[tex]\sf {(a \times b)}^{m} = {a}^{m} \times {b}^{m}[/tex]
[tex]\sf \ {( \frac{a}{b} )}^{m} = \frac{ {a}^{m} }{ {b}^{m} } [/tex]
[tex]\sf \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]
[tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]
[tex]\sf a \frac{m}{n} = \sqrt[n]{ {a}^{m} }[/tex]
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Pendahuluan
Bilangan bereksponen (berpangkat) dinyatakan dengan:
a × a × a × ....... a × a = aⁿ
Notasi: an dibaca “a pangkat n”
a disebut bilangan pokok (basis)
n disebut bilangan pangkat
Berlaku sifat:
1. pᵃ x pᵇ = pᵃ ⁺ ᵇ,
2. pᵃ : pᵇ = pᵃ ⁻ ᵇ,
3. (pᵃ)ᵇ = pᵃ ˣ ᵇ,
4. (p x q)ᵇ = pᵇ x qᵇ,
5. (p : q)ᵇ = pᵇ : qᵇ,
6. p⁰ = 1,
Contoh soal Eksponen (Berulang-ulang)
= 10⁵
= (10 . 10 . 10 . 10 . 10)
= 100.000
Contoh soal Eksponen (Sederhanakan)
= 14¹² ÷ 14¹¹
= 14(¹²-¹¹)
= 14¹
= 14
Contoh Eksponen (pangkat 2 dan 3)
1² = 1 × 1 = 1
2² = 2 × 2 = 4
3² = 3 × 3 = 9
4² = 4 × 4 = 16
5² = 5 × 5 = 25
6² = 6 × 6 = 36
7² = 7 × 7 = 49
8² = 8 × 8 = 64
9² = 9 × 9 = 81
10² = 10 × 10 = 100
1³ = 1 × 1 × 1 = 1
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
4³ = 4 × 4 × 4 = 64
5³ = 5 × 5 × 5 = 125
6³ = 6 × 6 × 6 = 216
7³ = 7 × 7 × 7 = 34
8³ = 8 × 8 × 8 = 512
9³ = 9 × 9 × 9 = 729
10³ = 10 × 10 × 10 = 1000
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Jawaban
1. pᵃ × pᵇ = pᵃ ⁺ ᵇ
2. pᵃ ÷ pᵇ = pᵃ ⁻ ᵇ
3. (pᵃ)ᵇ = pᵃ ˣ ᵇ
4. (p × q)ᵇ = pᵇ × qᵇ
5. (p : q)ᵇ = pᵇ ÷ qᵇ
6. p⁰ = 1
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Pelajari Lebih Lanjut
Sifat Eksponen
• https://brainly.co.id/tugas/341933
Contoh Soal Eksponen
• brainly.co.id/tugas/46715925
• brainly.co.id/tugas/44683241
• brainly.co.id/tugas/44952450
• https://brainly.co.id/tugas/11177326
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Detail Jawaban
Mapel : Matematika
Kelas : X
Materi : Sifat Eksponen
Bab : 1
Kode Soal : 2
Kode Kategorisasi : 9.2.1
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