Multiply. \[ 8 x^{7} \cdot 3 x \] Simplify your answer as much as possible.

To multiply \( 8 x^{7} \) and \( 3 x \), you need to multiply the coefficients (the numbers) and then the variables. First, multiply the coefficients: \[ 8 \cdot 3 = 24 \] Next, multiply the variable parts. When multiplying powers with the same base, you add the exponents: \[ x^{7} \cdot x^{1} = x^{7+1} = x^{8} \] Now, combine the results: \[ 24 x^{8} \] Thus, the simplified answer is: \[ 24 x^{8} \]