Question

simplify. express your answer using positive exponents.
(9rs⁷)(4rs)

Explanation:

Step1: Multiply the coefficients

Multiply 9 and 4.
\(9\times4 = 36\)

Step2: Multiply the \(r\) terms

Use the rule \(a^m\times a^n=a^{m + n}\), for \(r\) (where \(m = 1\) and \(n=1\)): \(r\times r=r^{1 + 1}=r^{2}\)

Step3: Multiply the \(s\) terms

Use the rule \(a^m\times a^n=a^{m + n}\), for \(s^7\) and \(s\) (where \(m = 7\) and \(n = 1\)): \(s^{7}\times s=s^{7+1}=s^{8}\)

Step4: Combine all terms

Combine the coefficient, \(r\) term, and \(s\) term.
\(36\times r^{2}\times s^{8}=36r^{2}s^{8}\)

Answer:

\(36r^{2}s^{8}\)