Answer
$\dfrac{x^{10}}{7^5}$
Work Step by Step
RECALL:
(1) $\left(\frac{a}{b}\right)^m=\frac{a^m}{b^m}$
(2) $(a^m)^n=a^{mn}$
Use rule (1) above to obtain:
$\left(\dfrac{x^2}{7}\right)^5=\dfrac{(x^2)^5}{7^5}$
Use rule (2) above to obtain:
$=\dfrac{x^{2(5)}}{7^5}
\\=\dfrac{x^{10}}{7^5}$