Simplify so that the final answer contains only positive exponents.

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

Problem

Simplify

\left(\dfrac{3a^{-2}b^{4}}{6a^{3}b^{-1}}\right)^{-2}

so that the final answer contains only positive exponents. (a)

\dfrac{a^{10}}{4b^{10}}

(b)

\dfrac{4b^{10}}{a^{10}}

(c)

\dfrac{4a^{10}}{b^{10}}

(d)

\dfrac{4a^{10}}{b^{6}}