Pertanyaan

Bentuk sederhana dari ( 2 x 2 y 2 z x y 3 z 2 ) − 2 adalah ....

Bentuk sederhana dari $(\frac{x y ^{3} z ^{2}}{2 x ^{2} y ^{2} z})^{- 2}$ adalah .... $\;$

$begin mathsize 14px style fraction numerator 4 x squared over denominator y squared z squared end fraction end style$
$begin mathsize 14px style fraction numerator 4 x over denominator y squared z squared end fraction end style$
$begin mathsize 14px style fraction numerator x squared over denominator 4 y squared z squared end fraction end style$
$begin mathsize 14px style fraction numerator 4 y squared over denominator x squared z squared end fraction end style$
$begin mathsize 14px style fraction numerator 4 z squared over denominator x squared y squared end fraction end style$

B. Hary

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah A.

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x y cubed z squared over denominator 2 x squared y squared z end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses fraction numerator x to the power of 1 minus 2 end exponent y to the power of 3 minus 2 end exponent z to the power of 2 minus 1 end exponent over denominator 2 end fraction close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses fraction numerator x to the power of negative 1 end exponent y to the power of 1 z to the power of 1 over denominator 2 end fraction close parentheses to the power of negative 2 end exponent end cell row blank equals cell fraction numerator x to the power of negative 1 cross times left parenthesis negative 2 right parenthesis end exponent y to the power of 1 cross times left parenthesis negative 2 right parenthesis end exponent z to the power of 1 cross times left parenthesis negative 2 right parenthesis end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator x squared y to the power of negative 2 end exponent z to the power of negative 2 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 2 squared x squared over denominator y squared z squared end fraction end cell row blank equals cell fraction numerator 4 x squared over denominator y squared z squared end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah A.