simplify write the answer with positive exponents

Question

(x-²y⁶)^-2

Answer 1

The rules for exponents show that (a^m · bⁿ)^q = a^mq · b^nq 

 

This expression, (x^-2 · y⁶)^-2 becomes x^{-2 -2} ·  y^{6 -2}

which yields x⁴ . y^-12 which can be rewritten as x⁴/y¹².