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(1³)¹⁴² =

18⁸² ÷ 18⁴⁵ ÷ 18¹² =
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Q

Hasil dari  sf { ({1}^{3}) }^{142} adalah  sf {1}^{426} = 1

Hasil dari  sf {18}^{82} div {18}^{45} div {18}^{12} adalah  sf {18}^{25}

Pendahuluan :

Eksponen merupakan sebuah kelompok bilangan berpangkat. Cara menghitung bilangan berpangkat sangat mudah, Dengan cara dikalikan berulang kali-Nya.

Bentuk umum :

sf {a^{n} = underbrace{ a times a times a times ... times a}_{n : faktor}}

Keterangan :

a = bilangan pokok barisnya

n = bilangan berpangkatnya

Sifat-sifat Eksponen :

sf {a}^{m} div {a}^{n} = {a}^{(m-n)}

sf {a}^{m} times {a}^{n} = {a}^{(m+n)}

sf { {(a}^{m}) }^{n} = {a}^{m times n}

sf {(a times b)}^{m} = {a}^{m} times {b}^{m}

sf  {( frac{a}{b} )}^{m} = frac{ {a}^{m} }{ {b}^{m} }

sf frac{1}{ {a}^{n} } = {a}^{ - n}

sf sqrt[n]{ {a}^{m} } = {a}^{ frac{m}{n} }

sf a frac{m}{n} = sqrt[n]{ {a}^{m} }

Contoh-contoh Eksponen :

sf {1}^{2} = 1 times 1 = 1

sf {2}^{2} = 2 times 2 = 4

sf {3}^{2} = 3 times 3 = 9

sf{4}^{2} = 4 times 4 = 16

sf {5}^{2} = 5 times 5 = 25

sf {6}^{2} = 6 times 6 = 36

sf {7}^{2} = 7 times 7 = 49

sf {8}^{2} = 8 times 8 = 64

sf {9}^{2} = 9 times 9 = 81

sf {10}^{2} = 10 times 10 = 100

sf {11}^{2} = 11 times 11 = 121

sf {12}^{2} = 12 times 12 = 144

sf {13}^{2} = 13 times 13 = 169

sf {14}^{2} = 14 times 14 = 196

sf {15}^{2} = 15 times 15 = 225

sf {16}^{2} = 16 times 16 = 256

sf {17}^{2} = 17 times 17 = 289

sf {18}^{2} = 18 times 18 = 324

sf {19}^{2} = 19 times 19 = 361

sf {20}^{2} = 20 times 20 = 400

sf {21}^{2} = 21 times 21 = 441

sf {22}^{2} = 22 times 22 = 484

sf {23}^{2} = 23 times 23 = 529

sf {24}^{2} = 24 times 24 = 576

sf {25}^{2} = 25 times 25 = 625

sf {26}^{2} = 26 times 26 = 676

sf {27}^{2} = 27 times 27 = 729

sf {28}^{2} = 28 times 28 = 784

sf {29}^{2} = 29 times 29 = 841

sf {30}^{2} = 30 times 30 = 900

sf {31}^{2} = 31 times 31 = 961

sf {33}^{2} = 33 times 33 = 1.089

sf {34}^{2} = 34 times 34 = 1.156

sf {35}^{2} = 35 times 35= 1.225

sf {36}^{2} = 36 times 36 = 1.296

sf {37}^{2} = 37 times 37 = 1.369

sf {38}^{2} = 38 times 38 = 1.444

sf {39}^{2} = 39 times 39 = 1.521

sf {40}^{2} = 40 times 40 = 1.600

sf {41}^{2} = 41 times 41 = 1.681

sf {42}^{2} = 42 times 42= 1.764

sf {43}^{2} = 43 times 43 = 1.849

sf {44}^{2} = 44 times 44 = 1.936

sf {45}^{2} = 45times 45= 2.025

sf {46}^{2} = 46 times 46= 2.116

sf {47}^{2} = 47 times 47= 2.209

sf {48}^{2} = 48 times 48= 2.304

sf {49}^{2} = 49 times 49 = 2.401

sf {50}^{2} = 50 times 50 = 2.500

Pembahasan :

 sf { ({1}^{3}) }^{142}

 sf = { ({1}^{3}) }^{142}

 sf = {1}^{(3 times 142)}

 sf = {1}^{426}

 sf = 1

_

 sf{18}^{82} div {18}^{45} div {18}^{12}

 sf = {18}^{82} div {18}^{45} div {18}^{12}

 sf = {18}^{(82 - 45 - 12)}

 sf = {18}^{(37 - 12)}

 sf = {18}^{25}

Kesimpulan :

1. Jadi, Hasil dari  sf { ({1}^{3}) }^{142} adalah  sf {1}^{426} = 1

2. Jadi, Hasil dari  sf {18}^{82} div {18}^{45} div {18}^{12} adalah  sf {18}^{25}

Pelajari lebih lanjut :

  1. brainly.co.id/tugas/11749410
  2. brainly.co.id/tugas/341933
  3. brainly.co.id/tugas/11207141
  4. brainly.co.id/tugas/11749410
  5. brainly.co.id/tugas/6661348

Detail Jawaban :

  • Kelas : 9
  • Materi : Eksponen
  • Kode soal : 2
  • Kategori : Bilangan berpangkat
  • Kategorisasi : 9.2.1
  • Kata kunci : Hasil dari  sf { ({1}^{3}) }^{142} dan  sf {18}^{82} div {18}^{45} div {18}^{12}
  • Mapel : Matematika

YuuZzonn

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( 1³ ) ¹⁴² = 1¹⁴²

= ( 1³ ) ¹⁴²

= 1 ( ³×¹⁴² )

= 1⁴²⁶

= 1

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18⁸² ÷ 18⁴⁵ ÷ 18¹² =

= 18⁸² ÷ 18⁴⁵ ÷ 18¹²

= 18 ( ⁸² – ⁴⁵ ) ÷ 18¹²

= 18 ( ³⁷ – ¹² )

= 18²⁵

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