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Hasil dari  (2−2⋅3−1⋅52)3(2−4⋅32⋅5−2)2​  adalah...

Pertanyaan

Hasil dari  undefined  adalah...

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

 Hasil dari  undefined  adalah fraction numerator 3 to the power of 7 over denominator 2 squared times 5 to the power of 10 end fraction

Pembahasan

Ingat sifat bilangan berpangkat:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m n end exponent end cell row cell a to the power of m cross times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell a to the power of m divided by a to the power of n end cell equals cell a to the power of m minus n end exponent end cell end table

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  undefined  adalah fraction numerator 3 to the power of 7 over denominator 2 squared times 5 to the power of 10 end fraction

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