Hello there. To solve this question, we'll have to remember some properties about exponentiation.
We have the following expression:
[tex](xy^7)^{10}[/tex]First, remember the power product rule:
[tex](ab)^n=a^nb^n[/tex]And the power of a power rule:
[tex](a^n_{})^m=a^{n\cdot m}[/tex]In this case, we have:
Applying the power product rule
[tex](xy^{7^{}})^{10}=x^{10^{}^{}}(y^7)^{10}[/tex]Now, apply the power of a power rule
[tex]x^{10}(y^7_{})^{10}=x^{10}y^{7\cdot10}=x^{10}y^{70}[/tex]This is the simplified form of this expression.
