Question

(4^p∙4^1)^3 simplifies to 4^q

Answer 1

$\bf \left( 4^p\cdot 4^1 \right)^3\impliedby \textit{distributing the exponent} \\\\ \left(4^{p\cdot 3} \cdot 4^{1\cdot 3} \right)\implies 4^{3p}4^3\impliedby \begin{array}{llll} \textit{same base, different exponent}\\ \textit{add the exponents, keep the base} \end{array}$

what does it give you?