Question

simplify. express your answer using positive exponents. (4z)(6z⁴)

Explanation:

Step1: Multiply the coefficients

$4 \times 6 = 24$

Step2: Combine the variable terms

Recall $z = z^1$, use exponent rule $z^a \times z^b = z^{a+b}$:
$z^1 \times z^4 = z^{1+4} = z^5$

Step3: Combine results

Multiply the coefficient product and variable product.

Answer:

$24z^5$