Answer
$2xy^{2}\sqrt[4] {x^{3}y^{2}}$
Work Step by Step
Step 1: $\sqrt[4] {16x^{7}y^{10}}$
Step 2: $\sqrt[4] {16}\times \sqrt[4] {x^{7}}\times \sqrt[4] {y^{10}}$
Step 3: $\sqrt[4] {2^{4}}\times \sqrt[4] {x^{4}\times x^{3}}\times \sqrt[4] {y^{8}\times y^{2}}$
Step 4: $\sqrt[4] {2^{4}}\times \sqrt[4] {x^{4}}\times \sqrt[4] {x^{3}}\times \sqrt[4] {y^{8}}\times \sqrt[4] {y^{2}}$
Step 5: $2\times x \times \sqrt[4] {x^{3}}\times y^{2}\times \sqrt[4] {y^{2}}$
Step 6: $2\times x \times y^{2} \times \sqrt[4] {x^{3}}\times \sqrt[4] {y^{2}}$
Step 7: $2xy^{2} \times \sqrt[4] {x^{3}\times y^{2}}$
Step 8: $2xy^{2}\sqrt[4] {x^{3}y^{2}}$
