Use the Product Rule to Multiply $\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$

Multiple Choice

Use the product rule to multiply. Assume all variables represent positive real numbers.
- $\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$

A) $100 x ^ { 2 }$
B) $\sqrt [ 4 ] { 7000 x ^ { 3 } }$
C) $\sqrt { 7000 x ^ { 3 } }$
D) $7000 \mathrm { x } ^ { 3 }$