Pertanyaan

open parentheses cube root of 7 close parentheses to the power of negative 3 over 2 end exponent equals.... 

  1. 49 

  2. 7  

  3. 1 over 7 square root of 7 

  4. 1 over 7 

  5. 1 over 49 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Pembahasan

Jika diberikan suatu bilangan riil p dengan p not equal to 0 dan bilangan rasional m space dan space n maka berlaku sifat-sifat berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell p to the power of m over n end exponent end cell equals cell n-th root of p to the power of m end root end cell row cell p to the power of negative m end exponent end cell equals cell 1 over p to the power of m end cell row cell open parentheses p to the power of m close parentheses to the power of n end cell equals cell p to the power of m n end exponent end cell row cell p to the power of m times p to the power of n end cell equals cell p to the power of m plus n end exponent end cell end table 

Sehingga dapat ditentukan hasil dari bentuk berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses cube root of 7 close parentheses to the power of negative 3 over 2 end exponent end cell equals cell open parentheses 7 to the power of 1 third end exponent close parentheses to the power of negative 3 over 2 end exponent space end cell row blank equals cell 7 to the power of 1 third cross times open parentheses negative 3 over 2 close parentheses end exponent end cell row blank equals cell 7 to the power of negative 3 over 6 end exponent end cell row blank equals cell 7 to the power of negative 1 half end exponent end cell row blank equals cell 1 over 7 to the power of begin display style 1 half end style end exponent end cell row blank equals cell fraction numerator 1 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction end cell row blank equals cell fraction numerator square root of 7 over denominator square root of 49 end fraction end cell row blank equals cell fraction numerator square root of 7 over denominator 7 end fraction end cell row blank equals cell 1 over 7 square root of 7 end cell end table        

Sehingga diperoleh Error converting from MathML to accessible text..

Jadi, jawaban yang benar adalah C.

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