Question

simplify. express your answer using positive exponents. (9d^4)(7d)

Explanation:

Step1: Multiply coefficients

Multiply 9 and 7: $9\times7 = 63$.

Step2: Multiply variables with exponents

Use the rule $a^m\times a^n=a^{m + n}$. Here $a = d$, $m = 4$, $n=1$, so $d^4\times d^1=d^{4 + 1}=d^5$.

Step3: Combine results

Combine the coefficient and the variable part: $63d^5$.

Answer:

$63d^5$