Explanation

To simplify the expression, follow the rules of exponents:

(x⁴)³ = x^(4×3) = x¹²

Now, divide x¹² by x⁻⁴:

x¹² ÷ x⁻⁴ = x¹² × x⁴ (since dividing by x⁻⁴ is the same as multiplying by x⁴)

= x^(12+4)

= x¹⁶