Question

Simplify. Your answer should contain only positive exponents.

Answer 1

Option A is your answer .

Solution :-

$\sf \implies 2^{-4} . \big(2^{-3}\big)^4\\\\\sf \implies\dfrac{1}{2^4}.\left(\dfrac{1}{2^{3}}\right)^4\\\\\sf\implies \dfrac{1}{2^4}.\left(\dfrac{1^4}{(2^3)^4}\right)\\\\\sf\implies\dfrac{1}{2^4}.\left(\dfrac{1}{2^{12}}\right)\\\\\sf\implies \dfrac{1}{2^{16}}$