Pertanyaan

( − 4 1 ) − 3 1 = ...

$\frac{1}{( - \frac{1}{4} ) ^{- 3}} = ...$

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat kembali: dan bilangan pokok negatif berpangkat negatif akan menghasilkan bilangan negatif. sehingga diperoleh perhitungan: Dengan demikian, nilai dari adalah . Jadi, jawaban yang tepat adalah C.

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

a to the power of negative n end exponent equals 1 over a to the power of n space atau space 1 over a to the power of negative n end exponent equals a to the power of n comma space a not equal to 0

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

dan bilangan pokok negatif berpangkat negatif akan menghasilkan bilangan negatif.

sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 1 over open parentheses begin display style negative 1 fourth end style close parentheses to the power of negative 3 end exponent end cell equals cell 1 over open parentheses begin display style negative 4 to the power of negative 1 end exponent end style close parentheses to the power of negative 3 end exponent end cell row blank equals cell 1 over open parentheses open parentheses negative 1 close parentheses times 4 to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent end cell row blank equals cell fraction numerator 1 over denominator open parentheses negative 1 close parentheses to the power of negative 3 end exponent open parentheses 4 to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 cross times 4 to the power of open parentheses negative 1 close parentheses cross times open parentheses negative 3 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 cross times 4 cubed end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 cross times 4 cross times 4 cross times 4 end fraction end cell row blank equals cell negative 1 over 64 end cell end table$

Dengan demikian, nilai dari 1 over open parentheses begin display style negative 1 fourth end style close parentheses to the power of negative 3 end exponent adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 64 end cell end table .

Jadi, jawaban yang tepat adalah C.