Mathematics

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}

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

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

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