if 4^1 was wrong, then the answer key was in error.
Or, more likely, you mistyped the problem, which was supposed to be
(4x^-10y^9)^-7 = 4^-7 x^70 y^-63
4(x^-10y^9)^-7 Simplifies to ??
4^number x^number y^number
3 answers
4(4x^-10y^9)^-7
what would they be then