Pertanyaan

Bentuk sederhana dari ( 3 − 1 ⋅ 5 − 2 ⋅ 8 − 1 ) 3 ( 3 2 ⋅ 5 − 1 ⋅ 8 3 ) 2 adalah ....

Bentuk sederhana dari $\frac{( 3 ^{2} \cdot 5 ^{- 1} \cdot 8 ^{3} ) ^{2}}{( 3 ^{- 1} \cdot 5 ^{- 2} \cdot 8 ^{- 1} ) ^{3}}$ adalah ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Gunakan sifat eksponen: Perhatikan perhitungan berikut. Jadi, jawaban yang tepat adalah A.

Gunakan sifat eksponen:

Perhatikan perhitungan berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses 3 squared times 5 to the power of negative 1 end exponent times 8 cubed close parentheses squared over open parentheses 3 to the power of negative 1 end exponent times 5 to the power of negative 2 end exponent times 8 to the power of negative 1 end exponent close parentheses cubed end cell equals cell fraction numerator 3 to the power of 2 cross times 2 end exponent times 5 to the power of negative 1 cross times 2 end exponent times 8 to the power of 3 cross times 2 end exponent over denominator 3 to the power of negative 1 cross times 3 end exponent times 5 to the power of negative 2 cross times 3 end exponent times 8 to the power of negative 1 cross times 3 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of 4 times 5 to the power of negative 2 end exponent times 8 to the power of 6 over denominator 3 to the power of negative 3 end exponent times 5 to the power of negative 6 end exponent times 8 to the power of negative 3 end exponent end fraction end cell row blank equals cell 3 to the power of 4 minus open parentheses negative 3 close parentheses end exponent times 5 to the power of negative 2 minus open parentheses negative 6 close parentheses end exponent times 8 to the power of 6 minus open parentheses negative 3 close parentheses end exponent end cell row blank equals cell 3 to the power of 4 plus 3 end exponent times 5 to the power of negative 2 plus 6 end exponent times 8 to the power of 6 plus 3 end exponent end cell row cell open parentheses 3 squared times 5 to the power of negative 1 end exponent times 8 cubed close parentheses squared over open parentheses 3 to the power of negative 1 end exponent times 5 to the power of negative 2 end exponent times 8 to the power of negative 1 end exponent close parentheses cubed end cell equals cell 3 to the power of 7 times 5 to the power of 4 times 8 to the power of 9 end cell end table end style$

Jadi, jawaban yang tepat adalah A.