Question

simplify. express your answer using positive exponents.
10rs·8r⁶s⁶
80r⁷s⁷

Explanation:

Step1: Multiply coefficients

Multiply 10 and 8: \(10\times8 = 80\)

Step2: Multiply \(r\) terms

Use exponent rule \(a^m\cdot a^n=a^{m + n}\) for \(r\): \(r^1\cdot r^6=r^{1 + 6}=r^7\)

Step3: Multiply \(s\) terms

Use exponent rule \(a^m\cdot a^n=a^{m + n}\) for \(s\): \(s^1\cdot s^6=s^{1 + 6}=s^7\)

Step4: Combine results

Multiply the coefficient, \(r\) term, and \(s\) term: \(80\times r^7\times s^7 = 80r^7s^7\)

Answer:

\(80r^7s^7\)