Answer
$5x^2y^3$
Work Step by Step
RECALL:
(1) $(a^m)^n=a^{mn}$
(2) $(ab)^m = a^mb^m$
(3) $a^{\frac{1}{n}}= \sqrt[n]{a}$
Use rule (2) above to obtain:
$=25^{\frac{1}{2}}(x^4)^{\frac{1}{2}}(y^6)^{\frac{1}{2}}$
Use rules (1) and (3) above to obtain:
$=\sqrt{25} x^{4(\frac{1}{2})}y^{6(\frac{1}{2})}
\\=\sqrt{5^2}x^2y^3
\\=5x^2y^3$
