Hasil dari adalah... - Universityku

Hasil dari

adalah…

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Bilangan eksponen atau yang biasa disebut bilangan berpangkat adalah bilangan yang dikalikan secara berulang-ulang dengan bilangan itu sendiri. Eksponensial dituliskan dengan angka maupun huruf di sebelah kanan atas ekspresi matematika tertentu yang disebut dengan basis.

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Dahulukan perkalian (×) atau pembagian (:)

Setelah itu kerjakan operasi hitung plus (+) dan minus(-)

Sifat-Sifat Bilangan Berpangkat (eksponen) :

${sf{{a}^{n}} = underbrace{sf{atimes atimes atimes atimes dots times a}}_{sf{n}}}$
${sf {a}^{0} = 1}$
${sf{{a}^{m} times {a}^{n} = {a}^{m + n}}}$
${sf{{a}^{m} div {a}^{n} = {a}^{m-n}}}$
${sf{({a}^{m})}^{n} = {a}^{mtimes n}}$
${sf{(a div b)}^{n} = {a}^{n} div {b}^{n}}$
${sf{(a times b)}^{n} = {a}^{n}times{b}^{n}}$
${sf{{a}^{-n}=dfrac{1}{{a}^{n}}}}$
${sf{{a}^{ frac{m}{n}} = sqrt[m]{{a}^{n}}}}$
${sf{left(dfrac{a}{b}right)}^{n} = dfrac{{a}^{n}}{{b}^{n}}}$
${sf{left(dfrac{a}{b}right)}^{-n} = {left(dfrac{b}{a}right)}^ {n}}$

Keterangan:

aⁿ = a × a × a × …
n = eksponen atau pangkat
a = bilangan pokok atau basis
aⁿ = bilangan berpangkat atau eksponen
a × a × a × … sampai dengan n suku merupakan hasil perpangkatan

$boxed {sf {⟱ : Contoh : Bilangan : Pangkat : 2 : ⟱}}$

➳ 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
➳ 11² = 11 × 11 = 121
➳ 12² = 12 × 12 = 144
➳ 13² = 13 × 13 = 169
➳ 14² = 14 × 14 = 196
➳ 15² = 15 × 15 = 225
➳ 16² = 16 × 16 = 256
➳ 17² = 17 × 17 = 289
➳ 18² = 18 × 18 = 324
➳ 19² = 19 × 19 = 361
➳ 20² = 20 × 20 = 400

$boxed {sf {⟱ : Contoh : Bilangan : Pangkat : 3 : ⟱}}$

➳ 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
➳ 16³ = 16 × 16 × 16 = 4.096
➳ 17³ = 17 × 17 × 17 = 4.913
➳ 18³ = 18 × 18 × 18 = 5.832
➳ 19³ = 19 × 19 × 19 = 6.859
➳ 20³ = 20 × 20 × 20 = 8.000

$boxed {sf {⟱ : Contoh : Bilangan : Pangkat : 4 : ⟱}}$

➳ 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
➳ 16⁴ = 16 × 16 × 16 × 16 = 65.536
➳ 17⁴ = 17 × 17 × 17 × 17 = 83.521
➳ 18⁴ = 18 × 18 × 18 × 18 = 104.976
➳ 19⁴ = 19 × 19 × 19 × 19 = 130.321
➳ 20⁴ = 20 × 20 × 20 × 20 = 160.000

^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^

Penjelasan dengan langkah-langkah:

$sf (frac{{3}^{4} times {4}^{4}}{{3}^{3} times {4}^{3}}){}^{2} = \ \ sf = ({3}^{4 - 3} times {4}^{4 - 3}){}^{2} \ \ sf = {(3 times 4)}^{2} \ \ sf = {12}^{2} = 12 times 12 \ \ boxed{large xrightarrow{sf jawaban} boxed{sf 144}}$

^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^•^

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Kelas : 9 SMP

Mapel : Matematika

Materi : Bab 1 – Bilangan Berpangkat

Kode kategorisasi : 9.2.1

Kata Kunci : Perpangkatan atau Eksponen

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