Question

simplify. express your answer using positive exponents. 9d·8d³

Explanation:

Step1: Multiply the coefficients

Multiply 9 and 8.
\(9\times8 = 72\)

Step2: Multiply the variables with exponents

Use the rule \(a^m \cdot a^n = a^{m + n}\) for \(d\) and \(d^3\).
\(d\times d^3 = d^{1 + 3}=d^4\)

Step3: Combine the results

Multiply the coefficient result and the variable result.
\(72\times d^4 = 72d^4\)

Answer:

\(72d^4\)