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]
https://brainly.co.id/tugas/47350497
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https://brainly.co.id/tugas/47410248
https://brainly.co.id/tugas/47410243
https://brainly.co.id/tugas/48763598
[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
