Roboguru

Jika , maka nilai dari   adalah ....

Pertanyaan

Jika begin mathsize 14px style p equals 8 end style, maka nilai dari  begin mathsize 14px style open parentheses square root of p colon cube root of p to the power of negative 6 end exponent end root close parentheses to the power of 2 over 3 end exponent end style adalah ....

  1. begin mathsize 14px style 32 end style 

  2. begin mathsize 14px style 16 end style 

  3. begin mathsize 14px style 1 fourth space end style 

  4. begin mathsize 14px style 1 over 8 end style 

Pembahasan Soal:

Diketahui begin mathsize 14px style p equals 8 equals 2 cubed end style maka

 table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses square root of p divided by cube root of p to the power of negative 6 end exponent end root close parentheses to the power of 2 over 3 end exponent end cell equals cell open parentheses square root of 2 cubed end root divided by cube root of open parentheses 2 cubed close parentheses to the power of negative 6 end exponent end root close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 2 to the power of 3 over 2 end exponent divided by 2 to the power of negative 18 over 3 end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 2 to the power of 3 over 2 minus open parentheses negative 6 close parentheses end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 2 to the power of 15 over 2 end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell 2 to the power of 5 end cell row blank equals 32 end table 

Jadi, jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Juli 2021

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