Question

simplify. express your answer using positive exponents.
$9m^{3} \cdot 3m$

Explanation:

Step1: Multiply the coefficients

Multiply 9 and 3. So, \(9\times3 = 27\).

Step2: Multiply the variables using exponent rule

For the variable \(m\), use the rule \(a^m\cdot a^n=a^{m + n}\). Here, \(m^3\cdot m=m^{3+1}=m^4\).

Step3: Combine the results

Combine the coefficient and the variable. So, \(9m^3\cdot3m = 27m^4\).

Answer:

\(27m^4\)