Question

(2n⁴)⁴, options: x⁷y⁷, a⁸b¹², 16n¹⁶, -3t⁴

Explanation:

Step1: Apply power of a product rule

$(ab)^m = a^m b^m$, so $(2n^4)^4 = 2^4 \cdot (n^4)^4$

Step2: Calculate coefficient power

$2^4 = 16$

Step3: Apply power of a power rule

$(a^m)^n = a^{m \cdot n}$, so $(n^4)^4 = n^{4 \times 4} = n^{16}$

Step4: Combine results

Multiply the coefficient and variable term: $16 \cdot n^{16}$

Answer:

$16n^{16}$