Simplify the following. Use the \( \wedge^{\wedge} \) symbol for the exponent if needed. \( \left(2 k^{4}\right)(4 k) \)

To simplify \( \left(2 k^{4}\right)(4 k) \), you can start by multiplying the coefficients and then combine the powers of \( k \). First, multiply the coefficients: \( 2 \times 4 = 8 \). Next, apply the rule for exponents: \( k^{4} \times k^{1} = k^{4+1} = k^{5} \). Putting it all together, you get: \[ 8 k^{5} \] So, the simplified expression is \( 8 k^{5} \).