Answer
$64c^6$
Work Step by Step
When we raise a term inside parentheses to a power, we must raise each part of the term to that power, and then multiply. To raise a power to a power, we simply multiply the exponents. Therefore, $$(4c^2)^3=4^3\cdot (c^2)^3=64\cdot c^{2\times 3}=64c^6$$
