Pertanyaan

Tentukan hasil dari: ( 8 1 ) 3 × 4 2 + 2 1

Tentukan hasil dari:

$(\frac{1}{8})^{3} \times 4^{2} + \frac{1}{2}$

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Jawaban terverifikasi

Jawaban

hasil dari adalah

hasil dari open parentheses 1 over 8 close parentheses cubed cross times 4 squared plus 1 half

adalah

Pembahasan

Ingat kembali: Pada soal kita ubah terlebih dahulu 8 dan 4 ke dalam bentuk pangkat: Sehingga diperoleh perhitungan: Jadi, hasil dari adalah

Ingat kembali:

a to the power of n equals stack stack a cross times a cross times a cross times... cross times a with underbrace below with a space s e b a n y a k space n below comma space a not equal to 0

a to the power of m over a to the power of n equals a to the power of m minus n end exponent comma space a not equal to 0

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 comma space a not equal to 0

Pada soal kita ubah terlebih dahulu 8 dan 4 ke dalam bentuk pangkat:

4 equals 2 cross times 2 equals 2 squared 8 equals 2 cross times 2 cross times 2 equals 2 cubed

Sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 1 over 8 close parentheses cubed cross times 4 squared plus 1 half end cell equals cell open parentheses 1 over 2 cubed close parentheses cubed cross times open parentheses 2 squared close parentheses squared plus 1 half end cell row blank equals cell 1 over 2 to the power of 3 cross times 3 end exponent cross times 2 to the power of 2 cross times 2 end exponent plus 1 half end cell row blank equals cell 2 to the power of 4 over 2 to the power of 9 plus 1 half end cell row blank equals cell 1 over 2 to the power of 9 minus 4 end exponent plus 1 half end cell row blank equals cell 1 over 2 to the power of 5 plus 1 half end cell row blank equals cell 1 over 32 plus 1 half end cell row blank equals cell fraction numerator 1 plus 16 over denominator 32 end fraction end cell row blank equals cell 17 over 32 end cell end table$

Jadi, hasil dari open parentheses 1 over 8 close parentheses cubed cross times 4 squared plus 1 half adalah 17 over 32