Question

simplify. express your answer using positive exponents. (5w⁶)(5w⁶)

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients 5 and 5. So, \(5\times5 = 25\).

Step2: Multiply the variables with exponents

For the variable \(w\) with exponents 6 and 6, use the rule \(a^m\times a^n=a^{m + n}\). So, \(w^{6}\times w^{6}=w^{6 + 6}=w^{12}\).

Step3: Combine the results

Combine the coefficient and the variable result. So, \((5w^{6})(5w^{6})=25w^{12}\).

Answer:

\(25w^{12}\)