Answer
$\dfrac{x^6}{64}$
Work Step by Step
RECALL:
(i) $\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}, b\ne0$
(ii) $(a^m)^n=a^{mn}$
Use rule (i) above to obtain:
$=\dfrac{(x^2)^3}{4^3}
\\=\dfrac{(x^2)^3}{4(4)(4)}
\\=\dfrac{(x^2)^3}{64}$
Use rule (ii) above to obtain:
$=\dfrac{x^{2(3)}}{64}
\\=\dfrac{x^6}{64}$