Question

1. (9k⁵)(2k³)

Explanation:

Step1: Multiply the coefficients

Multiply 9 and 2.
$9\times2 = 18$

Step2: Multiply the variables using exponent rule

For the variable \( k \), use the rule \( a^m \times a^n = a^{m + n} \). So \( k^5\times k^3 = k^{5 + 3}=k^8 \)

Step3: Combine the results

Combine the coefficient and the variable result.
$18\times k^8 = 18k^8$

Answer:

$18k^8$