Pertanyaan

Jika a = 9, b = 64, dan c = 7, maka a 2 1 b − 3 1 c 3 2 a b 2 1 c − 3 1 = ....

Jika a = 9, b = 64, dan c = 7, maka $\frac{a b ^{\frac{1}{2}} c ^{- \frac{1}{3}}}{a ^{\frac{1}{2}} b ^{- \frac{1}{3}} c ^{\frac{2}{3}}}$ = ....

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah C.

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a b to the power of 1 half end exponent c to the power of negative 1 third end exponent over denominator a to the power of 1 half end exponent b to the power of negative 1 third end exponent c to the power of 2 over 3 end exponent end fraction end cell equals cell fraction numerator a b to the power of 1 half end exponent b to the power of 1 third end exponent over denominator a to the power of 1 half end exponent c to the power of 2 over 3 end exponent c to the power of 1 third end exponent end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator a to the power of 1 minus 1 half end exponent b to the power of 1 half plus 1 third end exponent over denominator c to the power of 2 over 3 plus 1 third end exponent end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator a to the power of 1 half end exponent b to the power of 5 over 6 end exponent over denominator c to the power of 1 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator open parentheses 9 close parentheses to the power of 1 half end exponent open parentheses 64 close parentheses to the power of 5 over 6 end exponent over denominator open parentheses 7 close parentheses to the power of 1 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator open parentheses 3 squared close parentheses to the power of 1 half end exponent open parentheses 2 to the power of 6 close parentheses to the power of 5 over 6 end exponent over denominator 7 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 3 to the power of 2 open parentheses 1 half close parentheses end exponent 2 to the power of 6 open parentheses 5 over 6 close parentheses end exponent over denominator 7 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 3 to the power of 1 2 to the power of 5 over denominator 7 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 3 times 32 over denominator 7 end fraction end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell box enclose 96 over 7 end enclose end cell end table end style$

Jadi, jawaban yang tepat adalah C.