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Answer :

We have

[tex](x^5y^3)^7[/tex]

we will use the next power rule

[tex](a^n)^m=a^{n\cdot m}[/tex]

with the above, in mind we will simplify the expression

[tex](x^5y^3)^7=x^{5\cdot7}y^{3\cdot7}=x^{35}y^{21}[/tex]