Question

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

Explanation:

Step1: Multiply the coefficients

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

Step2: Multiply the \(r\) terms

Use the exponent rule \(a^m \cdot a^n = a^{m + n}\) for \(r\) terms (\(r^1\) and \(r^6\)).
\(r\times r^6 = r^{1 + 6}=r^7\)

Step3: Multiply the \(s\) terms

Use the exponent rule \(a^m \cdot a^n = a^{m + n}\) for \(s\) terms (\(s^1\) and \(s^6\)).
\(s\times s^6 = s^{1 + 6}=s^7\)

Step4: Combine all parts

Combine the coefficient, \(r\) term, and \(s\) term.
\(80\times r^7\times s^7 = 80r^7s^7\)

Answer:

\(80r^7s^7\)