Pertanyaan

Jika a = 2 , b = − 5 , dan c = − 1 , maka nilai dari a 2 b 4 c − 2 a − 1 b 2 c 3 adalah ....

Jika $a = 2, b = - 5$ , dan $c = - 1$ , maka nilai dari $\frac{a ^{- 1} b ^{2} c ^{3}}{a ^{2} b ^{4} c ^{- 2}}$ adalah ....

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Perhatikan bahwa Karena , , dan , maka Jadi, jawaban yang tepat adalah D.

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a to the power of negative 1 end exponent b squared c cubed over denominator a squared b to the power of 4 c to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator b squared times c cubed times c squared over denominator a times a squared times b to the power of 4 end fraction end cell row blank equals cell fraction numerator b to the power of 2 minus 4 end exponent c to the power of 3 plus 2 end exponent over denominator a to the power of 1 plus 2 end exponent end fraction end cell row blank equals cell fraction numerator b to the power of negative 2 end exponent c to the power of 5 over denominator a cubed end fraction end cell row blank equals cell fraction numerator c to the power of 5 over denominator a cubed b squared end fraction end cell end table end style$

Karena , , dan , maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator c to the power of 5 over denominator a cubed b squared end fraction end cell equals cell fraction numerator open parentheses negative 1 close parentheses to the power of 5 over denominator open parentheses 2 close parentheses cubed open parentheses negative 5 close parentheses squared end fraction end cell row blank equals cell fraction numerator negative 1 over denominator open parentheses 8 close parentheses open parentheses 25 close parentheses end fraction end cell row blank equals cell box enclose negative 1 over 200 end enclose end cell end table end style$

Jadi, jawaban yang tepat adalah D.