1) We were told to simplify this expression. So, we'll do it using the properties from the exponents.
2) Let's write it down:
[tex](xy^7)^{10}[/tex]Note that in this case, we've got to distribute the exponents over each variable, so that will lead to this:
[tex](xy^7)^{10}=x^{1\cdot10}y^{7\cdot10}=x^{10}y^{70}[/tex]Note that we did this by multiplying each exponent by the outside exponent.