Determine the numerical value of the expression:
$\left(3 k^{4}\right)^{4}=$

Answer

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Answer

$\boxed{81k^{16}}$ is the final answer.

Steps

Step 1 ：The given expression is $\left(3 k^{4}\right)^{4}$.

Step 2 ：We need to find the numerical value of this expression.

Step 3 ：To solve this, we apply the power of a power rule in mathematics, which states that $(a^m)^n = a^{mn}$.

Step 4 ：Applying this rule, we simplify the expression to $3^4 * k^{4*4}$ or $81k^{16}$.

Step 5 ：So, the numerical value of the expression $\left(3 k^{4}\right)^{4}$ is given by the formula $81k^{16}$.

Step 6 ：$\boxed{81k^{16}}$ is the final answer.