3³ × 4!
nt: panjang bener kak ._., tp bagus juga.
[tex]\ \huge\mathfrak\pink{pem}\mathfrak\pink{bahasan}[/tex]
Pengertian perpangkat adalah perkalian berganda atau dengan berulang dengan faktor-faktor yang sama.
[tex]\tiny\mathfrak \red{CIIMW}[/tex]
[tex]{\huge{\blue{\boxed{\tt{↓contoh↓}}}}}[/tex]
[tex]2 \times 2 = {2}^{2} \\ 3 \times 3 \times 3 = {3}^{3} \\ 4 \times 4 \times 4 \times 4 = {4}^{4} \\ 5 \times 5 \times 5 \times 5 \times 5 \times 5 = {5}^{6} [/tex]
[tex] a \times a \times a \times a \times a \times a \times a={a}^{7}[/tex]
[tex]\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c}\underline{\rm No.}&\underline{\rm Sifat-sifat~Perpangkatan}&&& \\ \\ 1.&a^{0}=1&&& \\ \\ 2.&\rm a^{m} \times {a}^{n} = {a}^{m \: + \: n} &&& \\ \\ 3.&\rm a^{m} \div{a}^{n} = {a}^{m \: -\: n} &&& \\ \\ 4.&\rm (a^{m})^{n} =a^{m n}&&& \\ \\ 5.&\rm (a\times b)^{n} =a^{n} \times b^{n} &&& \\ \\ 6.&\rm(a\div b)^{n} =a^{n}\div b^{n}&&& \\ \\ 7.&\rm( a^{m}\times b^{n} )^{y}=a^{m y}\times b^{n y} &&& \\ \\ 8&\rm ( a^{m}\div b^{n} )^{y}=a^{m y}\div b^{ny} &&& \\ \\ 9.&\rm a^{-n}=\frac{1}{a^{n} } &&& \\ \\ 10.&\rm a^\frac{x}{y} =\sqrt[y]{a^x} \end{array}}\end{gathered}\end{gathered}[/tex]
_______
3³
=3 × 3 × 3
=9 × 3
=27
______
[tex]{\huge\bf\color{red}{⬇}} {\huge\tt\color{blue}{~FAKTORIAL~}}{\huge\bf\color{red}{⬇}}[/tex]
FAKTORIAL adalah salah
-satu matematika yang dikali berurutan sampai ke angka 1 FAKTORIAL itu bertanda-tanda [!] ~SERU~
CONTOHNYA
2!=2×1
3!=3×2×1
4!=4×3×2×1
5!=5×4×3×2×1
___________________
4!
= 4 × 3 × 2 × 1
=12 × 2 × 1
=24 × 1
=24
[tex] \bold{ = {3}^{3} \times 4!}[/tex]
[tex] \bold{ = 27 \times 24}[/tex]
[tex] \bold{ = 648}[/tex]
~CMIIW~
بسم الله الرحمن الرحيم
Penyelesaian :
= 3³ × 4!
= (3 × 3 × 3) × (4 × 3 × 2)
= (9 × 3) × (12 × 2)
= 27 × 24
= 648
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