Pertanyaan

Nilai dari 8 1 3 2 .8 1 4 1 3 2 5 3 .2 7 3 2 adalah ...

Nilai dari $\frac{3 2 ^{\frac{3}{5}} .2 7 ^{\frac{2}{3}}}{8 1 ^{\frac{2}{3}} .8 1 ^{\frac{1}{4}}}$ adalah ...

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 32 to the power of begin display style 3 over 5 end style end exponent.27 to the power of begin display style 2 over 3 end style end exponent over denominator 8 to the power of begin display style 2 over 3 end style end exponent.81 to the power of begin display style 1 fourth end style end exponent end fraction equals fraction numerator begin display style open parentheses 2 to the power of 5 close parentheses to the power of 3 over 5 end exponent end style begin display style. end style begin display style begin display style open parentheses 3 cubed close parentheses end style to the power of 2 over 3 end exponent end style over denominator begin display style open parentheses 2 cubed close parentheses to the power of 2 over 3 end exponent end style begin display style. end style begin display style begin display style open parentheses 3 to the power of 4 close parentheses end style to the power of 1 fourth end exponent end style end fraction space space space space space space space space space space space space space space space space space space equals fraction numerator 2 cubed.3 squared over denominator 2 squared.3 to the power of 1 end fraction equals 2 to the power of 3 minus 2 end exponent.3 to the power of 2 minus 1 end exponent equals space 2 space. space 3 space equals 6$