Question

simplify. express your answer using positive exponents. \\(6d^{7} \cdot 8d\\)

Explanation:

Step1: Multiply the coefficients

$6 \times 8 = 48$

Step2: Combine like variable terms

Use exponent rule $d^a \cdot d^b = d^{a+b}$:
$d^7 \cdot d^1 = d^{7+1} = d^8$

Step3: Combine results

Multiply the coefficient result with the variable result.

Answer:

$48d^8$