Pertanyaan

Hasil dari 2 − 2 ( 4 3 × 5 ) 2 × 4 − 8 adalah ...

Hasil dari $\frac{( 4 ^{3} \times 5 ) ^{2} \times 4 ^{- 8}}{2 ^{- 2}}$ adalah ...

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Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

Pembahasan

Perhatikan perhitungan berikut. Ingat, sifat bilangan berpangkat Maka: Jadi, hasil dari adalah . Dengan demikian, tidak ada jawaban yang tepat.

Perhatikan perhitungan berikut.

Ingat, sifat bilangan berpangkat

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 times n end exponent

a to the power of m times a to the power of n equals a to the power of m plus n end exponent

open parentheses a to the power of m times b to the power of n close parentheses to the power of p equals a to the power of m times p end exponent times b to the power of n times p end exponent

a to the power of negative m end exponent equals 1 over a to the power of m

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 4 cubed cross times 5 close parentheses squared cross times 4 to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator 4 to the power of 3 cross times 2 end exponent cross times 5 squared cross times open parentheses 2 squared close parentheses to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 4 to the power of 6 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses to the power of 6 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 12 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell 2 to the power of 12 minus 16 minus open parentheses negative 2 close parentheses end exponent cross times 5 squared end cell row blank equals cell 2 to the power of 12 minus 16 plus 2 end exponent cross times 5 squared end cell row blank equals cell 2 to the power of negative 2 end exponent cross times 5 squared end cell row blank equals cell 5 squared over 2 squared end cell row blank equals cell 25 over 4 end cell row blank equals cell 6 comma 25 end cell end table$

Jadi, hasil dari $fraction numerator open parentheses 4 cubed cross times 5 close parentheses squared cross times 4 to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction$ adalah 6 comma 25 .

Dengan demikian, tidak ada jawaban yang tepat.