[tex] \boxed{ \bf \: \frac{18 \: + \: {3}^{2023} \: + \: ( {3}^{2} \: - \: 3) }{3 \: + \: {3}^{2023} } \: \: . \: \: \frac{3 {}^{2023} }{ {3}^{2024} } } \\ \\ \\ \\ \\ \red{ \tt \: k et: (\: . \: = \times )}[/tex]
Penjelasan dengan langkah-langkah:
[tex] = \frac{18 + {3}^{2023} + ( {3}^{2} - 3)}{3 + {3}^{2023} } . \frac{ {3}^{2023} }{ {3}^{2024} } [/tex]
[tex] = \frac{18 + {3}^{2023} + (9 - 3) }{3 + {3}^{2023} } . {3}^{2023 - 2024} [/tex]
[tex] = \frac{18 + {3}^{2023} + 6}{3 + {3}^{2023} } . {3}^{ - 1} [/tex]
[tex] = \frac{24 + {3}^{2023} }{3 + {3}^{2023} } . \frac{1}{3} [/tex]
[tex] = \frac{3.8 + 3. {3}^{2022} }{3. + 3.{3}^{2022} } . \frac{1}{3} [/tex]
[tex] = \frac{3.(8 + {3}^{2022} )}{3.(1 + {3}^{2022} )} . \frac{1}{3} [/tex]
[tex] = \frac{8 + {3}^{2022} }{1 + {3}^{2022} } . \frac{1}{3} [/tex]
[tex] = \frac{ 8+ {3}^{2022} }{3 + {3}^{2023} } [/tex]
Penjelasan dengan langkah-langkah:
18 + 3²⁰²³ + (3² - 3)/3 + 3²⁰²³ × 3²⁰²³/3²⁰²⁴
= 18 + 3²⁰²³ + (3² - 3)/3 + 3²⁰²³ × 3³ (3²⁰²⁰)/3⁴ (3²⁰²⁰)
= 18 + 3²⁰²³ + 6/3 + 3²⁰²³ × 27/81
= 24 + 3²⁰²³/3 + 3²⁰²³ × 1/3
= 8 + 3²⁰²³/1 + 3²⁰²³ × 1/3
= 8 + 3²⁰²³/3 + 3²⁰²⁴
= 8 + 3³ (3²⁰²⁰)/3⁴(3²⁰²⁰)
= 8 + 3³/3⁴
= 8 + 1/3
= 3
[answer.2.content]
