Answer
q$^{12}$r$^{4}$
Work Step by Step
(q$^{3}$r)$^{4}$
As each of these variables is being raised to the fourth power, their current exponent must be multiplied by 4:
q$^{3}$ has an exponent of 3 and is being raised to the 4th power. As a result, 4 and 3 should be multiplied together:
q$^{3 x 4}$ = q$^{12}$
Likewise, r has an exponent of 1 and is being raised to the 4th power. As a result, 1 and 4 should be multiplied together:
r$^{1 x 4}$ = r$^{4}$
Together, these simplify to q$^{12}$r$^{4}$