QUIIIZZZ!!! [tex] {5}^{2} \div {5}^{3} = ...[/tex]...

Berikut ini adalah pertanyaan dari unknown pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

QUIIIZZZ!!!
${5}^{2} \div {5}^{3} = ...$

...

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

$\huge\textsf{\textbf{\color{FF6666}{P}\color{FFB266}{e}\color{B2FF66}{n}\color{66FF66}{d}\color{66FFFF}{a}\color{66B2FF}{h}\color{6666FF}{u}\color{B266FF}{l}\color{orange}{u}\color{FF66B2}{a}\color{FF9999}{}\color{skyblue}{n}\color{pink}{:}}}$

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

$\\$

$\huge\textsf{\textbf{\color{FF6666}{P}\color{FFB266}{e}\color{B2FF66}{n}\color{66FF66}{y}\color{66FFFF}{e}\color{66B2FF}{l}\color{6666FF}{e}\color{B266FF}{s}\color{orange}{a}\color{FF66B2}{i}\color{FF9999}{a}\color{skyblue}{n}\color{pink}{:}}}$

$\sf = {5}^{2} ÷5 {}^{3}$

$\sf = 5 {}^{2 - 3}$

$\sf = {5}^{-1}$

$\sf = \large \frac{1}{5 {}^{1} }$

$\sf = {\large{\large\pink{\frac{1}{5} }}}$

$\\$

$\huge\textsf{\textbf{\color{FF6666}{D}\color{FFB266}{e}\color{B2FF66}{t}\color{66FF66}{a}\color{66FFFF}{i}\color{66B2FF}{l} \: \color{6666FF}{J}\color{B266FF}{a}\color{orange}{w}\color{FF66B2}{a}\color{FF9999}{b}\color{FFCC99}{a}\color{skyblue}{n}\color{pink}{:}}}$

Kelas : X

Mapel : Matematika

Materi : Sifat Eksponen

Bab : 1 - Eksponen dan Logaritma

Kode Soal : 2

Kode Kategorisasi : 9.2.1

Kata Kunci : Hasil dari 5² ÷ 5³

$\\$

$\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}$

$\large\textsf{\textbf{\color{FF9999}{@}\color{FF6666}{N}\color{FFB266}{a}\color{B2FF66}{u}\color{66FF66}{u}\color{66FFFF}{r}\color{66B2FF}{r}\color{6666FF}{a}\color{B266FF}{}\color{orange}{a}\color{FF66B2}{}\color{FF9999}{a}\color{skyblue}{}\color{pink}{}}}$

$[tex]\huge\textsf{\textbf{\color{FF6666}{P}\color{FFB266}{e}\color{B2FF66}{n}\color{66FF66}{d}\color{66FFFF}{a}\color{66B2FF}{h}\color{6666FF}{u}\color{B266FF}{l}\color{orange}{u}\color{FF66B2}{a}\color{FF9999}{}\color{skyblue}{n}\color{pink}{:}}}[/tex]Bilangan bereksponen (berpangkat) dinyatakan dengan:[tex].[/tex]a × a × a × ....... a × a = aⁿ[tex].[/tex]Notasi: an dibaca “a pangkat n”a disebut bilangan pokok (basis)n disebut bilangan pangkat[tex].[/tex]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,[tex] \: [/tex]Contoh soal Eksponen (Berulang-ulang)= 10⁵= (10 . 10 . 10 . 10 . 10)= 100.000[tex].[/tex]Contoh soal Eksponen (Sederhanakan)= 14¹² ÷ 14¹¹= 14(¹²-¹¹)= 14¹= 14[tex].[/tex]Contoh Eksponen (pangkat 2 dan 3)1² = 1 × 1 = 12² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 100[tex].[/tex]1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 348³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1000[tex] \\ [/tex][tex]\huge\textsf{\textbf{\color{FF6666}{P}\color{FFB266}{e}\color{B2FF66}{n}\color{66FF66}{y}\color{66FFFF}{e}\color{66B2FF}{l}\color{6666FF}{e}\color{B266FF}{s}\color{orange}{a}\color{FF66B2}{i}\color{FF9999}{a}\color{skyblue}{n}\color{pink}{:}}}[/tex][tex]\sf = {5}^{2} ÷5 {}^{3} [/tex][tex]\sf = 5 {}^{2 - 3} [/tex][tex]\sf = {5}^{-1} [/tex][tex]\sf = \large \frac{1}{5 {}^{1} } [/tex][tex]\sf = {\large{\large\pink{\frac{1}{5} }}}[/tex][tex] \\ [/tex][tex]\huge\textsf{\textbf{\color{FF6666}{D}\color{FFB266}{e}\color{B2FF66}{t}\color{66FF66}{a}\color{66FFFF}{i}\color{66B2FF}{l} \: \color{6666FF}{J}\color{B266FF}{a}\color{orange}{w}\color{FF66B2}{a}\color{FF9999}{b}\color{FFCC99}{a}\color{skyblue}{n}\color{pink}{:}}}[/tex]Kelas : XMapel : MatematikaMateri : Sifat EksponenBab : 1 - Eksponen dan LogaritmaKode Soal : 2Kode Kategorisasi : 9.2.1Kata Kunci : Hasil dari 5² ÷ 5³ [tex] \\ [/tex][tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}[/tex][tex]\large\textsf{\textbf{\color{FF9999}{@}\color{FF6666}{N}\color{FFB266}{a}\color{B2FF66}{u}\color{66FF66}{u}\color{66FFFF}{r}\color{66B2FF}{r}\color{6666FF}{a}\color{B266FF}{}\color{orange}{a}\color{FF66B2}{}\color{FF9999}{a}\color{skyblue}{}\color{pink}{}}}[/tex][tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}[/tex]$

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