Question

simplify. express your answer using positive exponents.
$9r \cdot 2r^8$

Explanation:

Step1: Multiply the coefficients

Multiply 9 and 2. So, \(9\times2 = 18\).

Step2: Multiply the variables using exponent rule

For the variable \(r\) (which is \(r^1\)) and \(r^8\), use the rule \(a^m\times a^n=a^{m + n}\). So, \(r^1\times r^8=r^{1 + 8}=r^9\).

Step3: Combine the results

Combine the coefficient and the variable. So, \(9r\cdot2r^8 = 18r^9\).

Answer:

\(18r^9\)