Simplify the following, giving your answer with a positive exponent

(u^x+3)^4

To simplify (u^x+3)^4, we can apply the power rule of exponents. When we raise a power to another power, we multiply the exponents.

So, we have:

(u^x+3)^4 = u^(4(x+3))

Therefore, the simplified form with a positive exponent is u^(4x+12).