Question

What is equivalent to
(q^4)^-3 / q^-15

Answer 1

To simplify this expression, we will use the rule of exponents that states when you raise a power to another power, you multiply the exponents:

(q^4)^-3 = q^(-12)

Now, we can rewrite the expression as:

(q^(-12)) / q^(-15)

Since we are dividing with the same base (q), we subtract the exponents:

q^(-12-(-15)) = q^(3)

Therefore, (q^4)^-3 / q^-15 is equivalent to q^3.