Multiply the Radicals with Different Indices $$\sqrt [ 3 ] { x y } \cdot \sqrt [ 5 ] { x y }$$

Multiple Choice

Multiply the radicals with different indices. Write the answer in radical form and simplify. $$\sqrt [ 3 ] { x y } \cdot \sqrt [ 5 ] { x y }$$

A) $\sqrt [ 15 ] { x ^ { 2 } y ^ { 2 } }$
B) $\sqrt [ 8 ] { x y }$
C) $\sqrt [ 15 ] { ( x y ) ^ { 8 } }$
D) $\sqrt [ 15 ] { x y }$