Matematika Sekolah Menengah Pertama Q.2² + 3² + 5⁰ = ...______Plis y gk usah komen yg gk penting ​

gaetanobodeulv – March 19, 2023

Q.

2² + 3² + 5⁰ = ...

______
Plis y gk usah komen yg gk penting ​

[tex]\huge\tt\color{FF6666}{Pe}\color{FFB266}{n}\color{B2FF66}{d}\color{66FF66}{a}\color{magenta}{h}\color{66FFFF}{u}\color{66B2FF}{l}\color{6666FF}{u}\color{B266FF}{a}\color{FF66FF}{n}\color{FF66B2}{:} \color{FF9999}{}\color{FFCC99} [/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 = 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

[tex].[/tex]

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

[tex] \\ [/tex]

[tex]\huge\tt\color{FF6666}{Pe}\color{FFB266}{n}\color{B2FF66}{y}\color{66FF66}{e}\color{magenta}{le}\color{66FFFF}{s}\color{66B2FF}{a}\color{6666FF}{i}\color{B266FF}{a}\color{FF66FF}{n}\color{FF66B2}{:} \color{FF9999}{}\color{FFCC99} [/tex]

[tex]\large \boxed { \tt{ \color{magenta} { Pertanyaan }}}[/tex]

[tex]\sf 2 {}^{2} + {3}^{2} + {5}^{0} =...[/tex]

[tex].[/tex]

[tex]\large \boxed { \tt{ \color{magenta} { Jawaban }}}[/tex]

[tex]= \sf 2 {}^{2} + {3}^{2} + {5}^{0}[/tex]

[tex]= \sf (2×2)+ {3}^{2} + {5}^{0}[/tex]

[tex]\sf = (2+2)+ {3}^{2} + {5}^{0}[/tex]

[tex]= \sf 4+ {3}^{2} + {5}^{0}[/tex]

[tex]= \sf4+ (3 \times 3)+ {5}^{0}[/tex]

[tex]\sf = 4 + (3+3+3)+5 {}^{0} [/tex]

[tex]\sf = 4+(6+3)+ {5}^{0} [/tex]

[tex]\sf = 4+9+5 {}^{0} [/tex]

[tex]\sf = 4+3+(5÷5)[/tex]

[tex]\sf = 4+9+1[/tex]

[tex]\sf = 13+1[/tex]

[tex]= \underline{\boxed { \tt{ \green { 14}}}}[/tex]

[tex] \\ [/tex]

[tex]\huge\tt\color{FF6666}{Pe}\color{FFB266}{l}\color{66B2FF}{a }\color{pink}{j }\color{66FFFF}{a}\color{66B2FF}{r}\color{6666FF}{i\:}\color{B266FF}{Le}\color{FF66FF}{b}\color{FF66B2}{i} \color{FF9999}{h}\color{FFCC99}[/tex]

[tex]\huge\tt\color{FF6666}{L}\color{FFB266}{a}\color{66B2FF}{n }\color{pink}{j }\color{66FFFF}{u}\color{66B2FF}{t}\color{6666FF}{:}\color{B266FF}{}\color{FF66FF}{}\color{FF66B2}{} \color{FF9999}{}\color{FFCC99}[/tex]

[tex] \\ [/tex]

[tex] \large \boxed { \tt{ \color{magenta} { Sifat \sf Eksponen }}}[/tex]

• https://brainly.co.id/tugas/341933

[tex] . [/tex]

[tex] \large \boxed { \tt{ \color{magenta} { Contoh \: Soal \: Eksponen }}} [/tex]

• brainly.co.id/tugas/46715925

• brainly.co.id/tugas/44683241

• brainly.co.id/tugas/44952450

• https://brainly.co.id/tugas/11177326

[tex] \\ [/tex]

[tex]\huge\tt\color{FF6666}{De}\color{FFB266}{t}\color{66B2FF}{a }\color{pink}{il \: }\color{66FFFF}{J}\color{66B2FF}{aw}\color{6666FF}{a}\color{B266FF}{b}\color{FF66FF}{an}\color{FF66B2}{:} \color{FF9999}{}\color{FFCC99}[/tex]

[tex]\boxed { \tt{ { Mapel }}} :{\tt{\color{red}{\tt{ Matematika}}}}[/tex]

[tex]\boxed { \tt{ {Kelas }}}:{\tt{\orange{\tt{X }}}}[/tex]

[tex]\boxed { \tt{ {Materi }}}:{\tt{\green{\tt{Eksponen}}}}[/tex]

[tex]\boxed { \tt{ { Bab }}}:{\tt{\blue{\tt{ 7 - Eksponen \: dan \: Logaritma}}}}[/tex]

[tex]\boxed { \tt{ {Kode \: Soal }}}:{\tt{\purple{\tt{2 }}}}[/tex]

[tex] \\ [/tex]

[tex] {2}^{2} + {3}^{2} + {5}^{0} [/tex]

[tex] = (2 \times 2) + (3 \times 3) + (1)[/tex]

[tex] = (4) + (9) + (1)[/tex]

[tex] = (13) + (1)[/tex]

[tex] - > \: = 14[/tex]

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