1 Answer

Qdjm · Answer 1 · 2023-12-07T14:53:52+0000

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve ~

$\qquad \sf  \dashrightarrow \: \frac{3 {x}^(2) y {}^( - 1)}{27x {}^( - 3) {y}^(8) }$

Now, let's get the common terms out :

$\qquad \sf  \dashrightarrow \: \frac{3 {x}^(2) y {}^( - 1)}{3 {x}^(2) {y}^( - 1)(9 {x}^( - 5) {y}^(9) )}$

cancel out the common terms in numerator and denominator

$\qquad \sf  \dashrightarrow \: \frac{1}{9 x {}^( - 5) {y}^(9) }$

$\qquad \sf  \dashrightarrow \: \frac{ {x}^(5) }{9 {}^( ) {y}^(9) }$

So, the correct choice is C

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