Simplify and express your answer as a product of prime powers and powers of variables…

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

Problem

Simplify

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

and express your answer as a product of prime powers and powers of variables with integer exponents. (a)

2^{4}a^{9}b^{7}

(b)

2^{-4}a^{7}b^{-7}

(c)

2^{-4}a^{9}b^{-7}

(d)

2^{-4}a^{3}b^{-1}