Pertanyaan

Nilai 3 6 5 × 25 6 − 1 8 − 2 × 2 4 4 adalah ...

Nilai $\frac{8 ^{- 2} \times 2 4 ^{4}}{3 6 ^{5} \times 25 6 ^{- 1}}$ adalah ...

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Klaim

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Ingat kembali beberapasifat bilangan berpangkat berikut: Sehingga soal tersebut dapat kita hitung sebagai berikut: Jadi, . Oleh karena itu, jawaban yang benar adalah E.

Ingat kembali beberapa sifat bilangan berpangkat berikut:

Sehingga soal tersebut dapat kita hitung sebagai berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 to the power of negative 2 end exponent cross times 24 to the power of 4 over denominator 36 to the power of 5 cross times 256 to the power of negative 1 end exponent end fraction end cell equals cell fraction numerator open parentheses 2 cubed close parentheses to the power of negative 2 end exponent cross times open parentheses 2 cubed cross times 3 close parentheses to the power of 4 over denominator open parentheses 2 squared cross times 3 squared close parentheses to the power of 5 cross times open parentheses 2 to the power of 8 close parentheses to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 6 end exponent cross times 2 to the power of 12 cross times 3 to the power of 4 over denominator 2 to the power of 10 cross times 3 to the power of 10 cross times 2 to the power of negative 8 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 12 minus 6 end exponent cross times 3 to the power of 4 over denominator 2 to the power of 10 minus 8 end exponent cross times 3 to the power of 10 end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 cross times 3 to the power of 4 over denominator 2 squared cross times 3 to the power of 10 end fraction end cell row blank equals cell 2 to the power of 6 minus 2 end exponent cross times 3 to the power of 4 minus 10 end exponent end cell row blank equals cell 2 to the power of 4 cross times 3 to the power of negative 6 end exponent end cell row blank equals cell 2 to the power of 4 over 3 to the power of 6 end cell row blank equals cell 16 over 729 end cell end table$

Jadi, $fraction numerator 8 to the power of negative 2 end exponent cross times 24 to the power of 4 over denominator 36 to the power of 5 cross times 256 to the power of negative 1 end exponent end fraction equals 16 over 729$ .

Oleh karena itu, jawaban yang benar adalah E.