hasil dari 3^-3+5^-2+6^-2
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Jawaban:
[tex] \frac{283}{2700} \\ [/tex]
Penjelasan dengan langkah-langkah:
Sederhanakan semuanya dulu
[tex]3 {}^{ - 3} = \frac{1}{3 {}^{ 3} } = \frac{1}{3 \times 3 \times 3} = \frac{1}{27} \\ [/tex]
[tex] {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{5 \times 5} = \frac{1}{25} \\ [/tex]
[tex] {6}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{6 \times 6} = \frac{1}{36} \\ [/tex]
Jumlahkan deh.
Cari KPK dari 27, 25, dan 36
[tex]27 = {3}^{3} \\ 25 = {5}^{2} \\ 36 = {2}^{2} \times {3}^{2} \\ KPK = {2}^{2} \times {3}^{3} \times {5}^{2} \\ = 4 \times 27 \times 25 \\ = 2700[/tex]
Jumlahkan deh pecahannya.
[tex] \frac{1}{27} + \frac{1}{25} + \frac{1}{36} \\ = \frac{100 + 108 + 75}{2700} \\ = \frac{283}{2700} [/tex]
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