Answer:
n is 12
Explanation:
The expression (q^4)^-3 / q^-15 can be simplified by reducing the exponent of q^4 and q^-15.
(q^4)^-3 = 1/(q^4)^3, since (a^b)^c = a^(bc) for any numbers a, b, and c.
q^-15 = 1/q^15, since q^-n = 1/q^n.
So the expression can be rewritten as 1/(q^4)^3 * q^15.
To make the exponents of q equal on the numerator and denominator, we can add 12 to the exponent on the numerator, so it becomes 1/q^12.
Therefore, the value of n is 12.