Matematika q

5³ + 5² = ....

10² - 5² = ....

__________
Capek sm temen :)​

q

5³ + 5² = ....

10² - 5² = ....

__________
Capek sm temen :)​

[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{plum}{e}{\color{lavender}{n}{\color{plum}{d}{\color{lavender}{a}{\color{plum}{h}{\color{lavender}{u}{\color{plum}{l}{\color{lavender}{u}{\color{plum}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex]

Eksponen adalah Suatu hasil dari perkalian yg diulang ulang

[tex]\colorbox{pink}{Bentuk Umum Eksponen}[/tex]

[tex]\tt {a}^{b} = a \times a \times a \times a \times a \times a = ...[/tex]

Dimana,

a = basis

b = pangkat

[tex]\: \: \: \tt \huge \orange{Sifat \: Sifat \: Eksponen}[/tex]

[tex]\sf {a}^{b} \times {a}^{c} = {a}^{(b+c)}[/tex]

[tex]\sf {a}^{b} \div {a}^{c} = {a}^{(b-c)}[/tex]

[tex]\sf {(a}^{b}{)}^{c} = {a}^{(b \times c)}[/tex]

[tex]\sf {a}^{0} = 1[/tex]

[tex]\sf ({a}^{m} \times {a}^{n}{)}^{b} = {a}^{mb} \times {a}^{nb}[/tex]

[tex]\sf {a}^{m} \times {c}^{m} = (a \times b{)}^{m}[/tex]

[tex] {a}^{-m} = \frac{ 1 }{ {a}^{m} }[/tex]

[tex] \: \: \: \tt Contoh \: Eksponen:[/tex]

Eksponen Menyederhanakan:

12² × 12²

= 12^(²+²)

= 12^4

= 12 × 12 × 12 × 12

= 144 × 144

=> 20.736

Contoh Eksponen(Pangkat):

[tex] \: \: \:[/tex] Pangkat 1:

1¹ = 1

2¹ = 2

3¹ = 3

4¹ = 4

5¹ = 5

6¹ = 6

7¹ = 7

8¹ = 8

9¹ = 9

10¹ = 10

11¹ = 11

12¹ = 12

13¹ = 13

14¹ = 14

15¹ = 15

[tex] \: \: \:[/tex] Pangkat 2:

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² =121

12² = 144

13² = 169

14² = 196

15² = 225

[tex] \: \: \:[/tex] Pangkat 3:

1³ = 1

2³ = 8

3³ = 27

4³ =64

5³ = 125

6³ =216

7³ = 343

8³ = 512

9³ = 729

10³ = 1.000

11³ = 1.331

12³ = 1.728

13³ = 2.197

14³ = 2.744

15³ = 3.375

[tex] \: \: \:[/tex] Pangkat 4:

1⁴ = 1

2⁴ = 16

3⁴ = 81

4⁴ = 256

5⁴ = 625

6⁴ = 1.296

7⁴ = 2.401

8⁴ = 4.096

9⁴ = 6.561

10⁴ = 10.000

11⁴ = 14.641

12⁴ = 20.736

13⁴ = 28.561

14⁴ = 38.416

15⁴ = 50.625

[tex] \: \: \:[/tex] Pangkat 5:

1⁵ = 1

2⁵ = 32

3⁵ = 243

4⁵ = 1.024

5⁵ = 3.125

6⁵ = 7.776

7⁵ = 16.807

8⁵ = 32.768

9⁵ = 59.049

10⁵ = 100.000

11⁵ = 161.051

12⁵ = 248.832

13⁵ = 371.293

14⁵ = 537.824

15⁵ = 759.375

[tex] \: \: \:[/tex]Cara Menghitung bilangan berpangkat:

Pangkat 1:

[tex] {a}^{b} = a[/tex]

Pangkat 2:

[tex] {a}^{c} = a \times a[/tex]

Pangkat 3:

[tex] {m}^{n} = m \times m \times m[/tex]

. [tex] \: \: \: \:[/tex]Cara Menghitung Bilangan Pangkat 2:

1² = 1 × 1 = 2

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

11² = 11 × 11 = 121

12² = 12 × 12 = 144

13² = 13 × 13 = 168

14² = 14 × 14 = 196

15² = 15 × 15 = 225

.[tex] \: \: \: \:[/tex] Cara Menghitung bilangan pangkat 3:

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 = 343

8³ = 8 × 8 × 8 = 512

9³ = 9 × 9 × 9 = 729

10³ = 10 × 10 × 10 = 1.000

11³ = 11 × 11 × 11 = 1.331

12³ = 12 × 12 × 12 = 1.728

13³ = 13 × 13 × 13 = 2.197

14³ = 14 × 14 × 14 = 2.744

15³ = 15 × 15 × 15 = 3.375

. [tex] \: \: \:[/tex] Cara Menghitung bilangan pangkat 4:

1⁴ = 1 × 1 × 1 × 1 =1

2⁴ = 2 × 2 × 2 × 2 = 16

3⁴ = 3 × 3 × 3 × 3 = 81

4⁴ = 4 × 4 × 4 × 4 = 256

5⁴ = 5 × 5 × 5 × 5 = 625

6⁴ = 6 × 6 × 6 × 6 = 1.296

7⁴ = 7 × 7 × 7 × 7 = 2.401

8⁴ = 8 × 8 × 8 × 8 = 4.096

9⁴ = 9 × 9 × 9 × 9 = 6.561

10⁴ = 10 × 10 × 10 × 10 = 10.000

11⁴ = 11 × 11 × 11 × 11 = 14.641

12⁴ = 12 × 12 × 12 × 12 = 20.736

13⁴ = 13 × 13 × 13 × 13 = 28.561

14⁴ = 14 × 14 × 14 × 14 = 38.416

15⁴ = 15 × 15 × 15 × 15 = 50.625

.[tex] \: \: \:[/tex] Cara menghitung bilangan Pangkat 5:

1⁵ = 1 × 1 × 1 × 1 × 1 = 1

2⁵ = 2 × 2 × 2 × 2 × 2 = 32

3⁵ = 3 × 3 × 3 × 3 × 3 = 243

4⁵ = 4 × 4 × 4 × 4 × 4 = 1.024

5⁵ = 5 × 5 × 5 × 5 × 5 = 3.125

6⁵ = 6 × 6 × 6 × 6 × 6 = 7.776

7⁵ = 7 × 7 × 7 × 7 × 7 = 16.807

8⁵ = 8 × 8 × 8 × 8 × 8 = 32.768

9⁵ = 9 × 9 × 9 × 9 × 9 = 59.049

10⁵ = 10 × 10 × 10 × 10 × 10 = 100.000

11⁵ = 11 × 11 × 11 × 11 × 11 = 161.051

12⁵ = 12 × 12 × 12 × 12 × 12 = 248.832

13⁵ = 13 × 13 × 13 × 13 × 13 = 371.293

14⁵ = 14 × 14 × 14 × 14 × 14 = 537.824

15⁵ = 15 × 15 × 15 × 15 × 15 = 759.375

[tex]\huge \mathfrak \red{PENYELESAIAN}[/tex]

5³ + 5²

= 125 + 25

=> 150

10² - 5²

= 100 - 25

=> 75

[tex]\huge \mathscr\red{Pelajari} {Lebih} \: \green{Lanjut}[/tex]

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[tex]\huge \mathscr \pink{Detail} \: \purple{Jawaban}[/tex]

[tex] \: \: \:[/tex]|| Kelas: 9

[tex] \: \: \:[/tex]|| Tingkat: SMP

[tex] \: \: \:[/tex]|| Materi: Eksponen

[tex] \: \: \:[/tex]|| Matpel: Matematika

[tex] \: \: \:[/tex]|| Kode soal: 2

[tex] \: \: \:[/tex]|| Kode kategorisasi: 9.2.1

[tex]\purple{\boxed{\pink{\boxed{\orange{\tt{\star~\blue{ Riiax }~\star}}}}}}[/tex]

Penjelasan dengan langkah-langkah:

1.) 5³ + 5²

= (5 × 5 × 5) + (5 × 5)

= (25 × 5) + 25

= 125 + 25

= 150

2.) 10² - 5²

= (10 × 10) - (5 × 5)

= 100 - 25

= 75