Answer:
[tex]250n^{31}[/tex]
Step-by-step explanation:
We have to find the product of [tex](0.5n^{5})^{2}(10n^{7})^{3}[/tex]
[tex]=(0.5)^{2}(n^{5})^{2}(10)^{3}(n^{7})^{3}[/tex]
=[tex](0.25)(n^{5\times 2})(10^{3})(n^{7\times 3})[/tex]
[tex]=(0.25)(n^{10})(1000)(n^{21})[/tex]
[tex]=250n^{31}[/tex]
Therefore the product will be [tex]250n^{31}[/tex].