64 ^ (5/6) - 81 ^ (3/4)
Jawab:
5
Sifat Eksponen:
[tex](a^b)^c = a^{bc}[/tex]
Penjelasan dengan langkah-langkah:
[tex]64^{\frac{5}{6}} - 81^{\frac{3}{4}}[/tex]
[tex]= (2^6)^{\frac{5}{6}} - (3^4)^{\frac{3}{4}}[/tex]
[tex]= 2^{\: 6 \: \times \frac{5}{6}} - 3^{\: 4 \: \times \frac{3}{4}}[/tex]
[tex]= 2^5 - 3^3[/tex]
[tex]= (2 \times 2 \times 2 \times 2 \times 2) - (3 \times 3 \times 3)[/tex]
[tex]= 32 - 27[/tex]
[tex]= 5[/tex]
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