Q

By Admin ReiPosted on December 11, 2022

(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 :

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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