Question

1. $(n^{3}p)^{4}$

Explanation:

Step1: Apply power of a product rule

$(ab)^m = a^m b^m$, so $(n^3p)^4=(n^3)^4 p^4$

Step2: Apply power of a power rule

$(a^m)^n = a^{m \times n}$, so $(n^3)^4 = n^{3 \times 4}=n^{12}$

Step3: Combine the terms

Combine the simplified terms from Step2
$n^{12} p^4$

Answer:

$n^{12}p^4$