Answer
$\dfrac{1}{16^4xy^3}$
Work Step by Step
First, use distributive property. This means that we are raising a power to a power, so we will multiply the exponents with each term inside the parentheses:
$(16^{(1)(-4)})(x^{(1/4)(-4)})(y^{(3/4)(-4)})$
Multiply the exponents first to simplify:
$(16^{-4})(x^{-1})(y^{-12/4})$
Simplify the exponents:
$(16^{-4})(x^{-1})(y^{-3})$
We do not want negative exponents, so we need to convert them so that only positive exponents remain. We do this by switching the signs of the negative exponents, and then taking their reciprocals:
$\left(\frac{1}{16^4}\right)\left(\frac{1}{x^1}\right)\left(\frac{1}{y^3}\right)$
Combine the fractions:
$\frac{1}{16^4xy^3}$
