f) (14.2)4 * (14.2)1/4 g) (14.2)4 + (14.2)1/4

Step 1: Solve part f). We use the exponent rule $a^m \times a^n = a^{m+n}$. $(14.2)^4 \times (14.2)^{\frac{1}{4}} = (14.2)^{4 + \frac{1}{4}}$ To add the exponents, we find a common denominator. $4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4}$ So the expression simplifies to: $= (14.2)^{\frac{17}{4}}$ The answer for f) is $\boxed{(14.2)^{\frac{17}{4}}}$.

Step 2: Solve part g). We calculate each term separately and then add them. $(14.2)^4 = 14.2 \times 14.2 \times 14.2 \times 14.2 = 40603.0016$ $(14.2)^{\frac{1}{4}} = \sqrt[4]{14.2}$ Using a calculator, $\sqrt[4]{14.2} \approx 1.940081$. Now we add the results. $(14.2)^4 + (14.2)^{\frac{1}{4}} \approx 40603.0016 + 1.940081$ $\approx 40604.941681$ The answer for g) is approximately $\boxed{40604.941681}$.