Pertanyaan

Hasil dari ( 2 − 2 ⋅ 3 − 1 ⋅ 5 2 ) 3 ( 2 − 4 ⋅ 3 2 ⋅ 5 − 2 ) 2 adalah...

Hasil dari $\frac{( 2 ^{- 4} \cdot 3 ^{2} \cdot 5 ^{- 2} ) ^{2}}{( 2 ^{- 2} \cdot 3 ^{- 1} \cdot 5 ^{2} ) ^{3}}$ adalah...

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

Hasil dari adalah 2 2 ⋅ 5 10 3 7 .

Hasil dari

adalah

\frac{3 ^{7}}{2 ^{2} \cdot 5 ^{10}}

Pembahasan

Ingat sifat bilangan berpangkat: ( a m ) n a m × a n a m ÷ a n = = = a mn a m + n a m − n Maka, diperoleh perhitungan: Jadi,Hasil dari adalah 2 2 ⋅ 5 10 3 7 .

Ingat sifat bilangan berpangkat:

$(a^{m})^{n} a^{m} \times a^{n} a^{m} \div a^{n} = = = a^{mn} a^{m + n} a^{m - n}$

Maka, diperoleh perhitungan:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 2 to the power of negative 4 end exponent times 3 squared times 5 to the power of negative 2 end exponent right parenthesis squared over left parenthesis 2 to the power of negative 2 end exponent times 3 to the power of negative 1 end exponent times 5 squared right parenthesis cubed end cell equals cell fraction numerator 2 to the power of negative 8 end exponent times 3 to the power of 4 times 5 to the power of negative 4 end exponent over denominator 2 to the power of negative 6 end exponent times 3 to the power of negative 3 end exponent times 5 to the power of 6 end fraction end cell row blank equals cell 2 to the power of negative 8 minus left parenthesis negative 6 right parenthesis end exponent times 3 to the power of 4 minus left parenthesis negative 3 right parenthesis end exponent times 5 to the power of negative 4 minus 6 end exponent end cell row blank equals cell 2 to the power of negative 2 end exponent times 3 to the power of 7 times 5 to the power of negative 10 end exponent end cell row blank equals cell fraction numerator 3 to the power of 7 over denominator 2 squared times 5 to the power of 10 end fraction end cell end table end style$

Jadi, Hasil dari adalah $\frac{3 ^{7}}{2 ^{2} \cdot 5 ^{10}}$ .