Pertanyaan

Sederhanakan dan nyatakan dalam bentuk pangkat positif dari 6 a 9 ⋅ b 2 ⋅ c − 1 2 a 3 ⋅ b − 5 ⋅ c 2

Sederhanakan dan nyatakan dalam bentuk pangkat positif dari

$\frac{2 a ^{3} \cdot b ^{- 5} \cdot c ^{2}}{6 a ^{9} \cdot b ^{2} \cdot c ^{- 1}}$

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

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. $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 a cubed times b to the power of negative 5 end exponent times c squared over denominator 6 a to the power of 9 times b squared times c to the power of negative 1 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator c cubed over denominator 3 a to the power of 6 b to the power of 7 end fraction end cell end table end style$ .

Pembahasan

Ingat! Sehingga, Dengan demikian. .

Ingat!

Sehingga,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 a cubed times b to the power of negative 5 end exponent times c squared over denominator 6 a to the power of 9 times b squared times c to the power of negative 1 end exponent end fraction end cell equals cell fraction numerator 1 c to the power of 2 minus left parenthesis negative 1 right parenthesis end exponent over denominator 3 a to the power of 9 minus 3 end exponent b to the power of 2 minus left parenthesis negative 5 right parenthesis end exponent end fraction space left parenthesis sama minus sama space dibagi space 2 right parenthesis end cell row blank equals cell fraction numerator c to the power of 2 plus 1 end exponent over denominator 3 a to the power of 6 b to the power of 2 plus 5 end exponent end fraction end cell row blank equals cell fraction numerator c cubed over denominator 3 a to the power of 6 b to the power of 7 end fraction end cell end table end style$

Dengan demikian. $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 a cubed times b to the power of negative 5 end exponent times c squared over denominator 6 a to the power of 9 times b squared times c to the power of negative 1 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator c cubed over denominator 3 a to the power of 6 b to the power of 7 end fraction end cell end table end style$ .