Final answer:
The equivalent expression for (3²k³)⁴ is found by multiplying the exponents, resulting in 3⁸k¹², which is option c: 3⁸k¹².
Step-by-step explanation:
The question refers to simplifying or finding an equivalent expression for the exponential term (3²k³)⁴. To find the equivalent expression, we apply the rule of exponents that says when raising a power to a power, you multiply the exponents.
(3²k³)⁴ = 3²×4 × k³×4
This simplifies to:
3¸ × k¹²
Therefore, the equivalent expression is 3⁸k¹², which corresponds to option c: 3⁸k¹².