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Hasil dari 16−12−5⋅(82)31​​  adalah...

Pertanyaan

Hasil dari fraction numerator 2 to the power of negative 5 end exponent times open parentheses 8 squared close parentheses to the power of begin display style 1 third end style end exponent over denominator 16 to the power of negative begin display style 1 end style end exponent end fraction  adalah...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari operasi tersebut adalah 2.

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut:

a to the power of m over a to the power of n equals a to the power of m minus n end exponent open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent a to the power of negative n end exponent equals 1 over a to the power of n

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of negative 5 end exponent times open parentheses 8 squared close parentheses to the power of begin display style 1 third end style end exponent over denominator 16 to the power of negative begin display style 1 end style end exponent end fraction end cell equals cell fraction numerator begin display style 1 over 2 to the power of 5 end style open parentheses open parentheses 2 cubed close parentheses squared close parentheses to the power of begin display style 1 third end style end exponent over denominator begin display style 1 over 16 end style end fraction end cell row blank equals cell fraction numerator begin display style 1 over 2 to the power of 5 end style times 2 squared over denominator begin display style 1 over 16 end style end fraction end cell row blank equals cell 1 over 32 times 4 times 16 over 1 end cell row blank equals 2 end table

Jadi, hasil dari operasi tersebut adalah 2.

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