Pertanyaan

Jika dan ,maka nilai dari adalah ....

Jika dan , maka nilai dari $begin mathsize 14px style open vertical bar fraction numerator negative sign 25 italic p cubed italic q over denominator 3 italic p to the power of 5 italic q to the power of negative sign 2 end exponent end fraction close vertical bar end style$ adalah ....

D. Natalia

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat beberapa sifatnilai mutlak berikut ini! Dengan menggunakan dua sifat di atas, diperoleh hasil perhitungan sebagai berikut. Jadi, jawaban yang tepat adalah C.

Ingat beberapa sifat nilai mutlak berikut ini!

Dengan menggunakan dua sifat di atas, diperoleh hasil perhitungan sebagai berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar fraction numerator negative sign 25 italic p cubed italic q over denominator 3 italic p to the power of 5 italic q to the power of negative sign 2 end exponent end fraction close vertical bar end cell equals cell open vertical bar fraction numerator negative sign 25 italic p to the power of 3 minus sign 5 end exponent italic q to the power of 1 minus sign open parentheses negative sign 2 close parentheses end exponent over denominator 3 end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator negative sign 25 italic p to the power of negative sign 2 end exponent italic q cubed over denominator 3 end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator negative sign 25 italic q cubed over denominator 3 italic p squared end fraction close vertical bar end cell row blank equals cell fraction numerator open vertical bar negative sign 25 italic q cubed close vertical bar over denominator open vertical bar 3 italic p squared close vertical bar end fraction end cell row blank equals cell fraction numerator open vertical bar negative sign 25 close vertical bar open vertical bar italic q cubed close vertical bar over denominator open vertical bar 3 close vertical bar open vertical bar italic p squared close vertical bar end fraction end cell row blank equals cell fraction numerator 25 open vertical bar italic q close vertical bar cubed over denominator 3 open vertical bar italic p close vertical bar squared end fraction end cell row blank equals cell fraction numerator 25 ⋅ 3 cubed over denominator 3 ⋅ 5 squared end fraction end cell row blank equals cell fraction numerator 25 ⋅ 27 over denominator 3 ⋅ 25 end fraction end cell row blank equals cell 27 over 3 end cell row blank equals 9 end table end style$

Jadi, jawaban yang tepat adalah C.