Simplify and express your answer with positive exponents only.

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

Simplify

\displaystyle \frac{(3x^{-2}y^{3})^{-2}}{27x^{-5}y}

and express your answer with positive exponents only. (a)

\dfrac{x^{9}y^{7}}{243}

(b)

\dfrac{x^{9}}{9y^{7}}

(c)

\dfrac{x^{9}}{243y^{7}}

(d)

\dfrac{x^{-9}}{243y^{7}}