Question

simplify. express your answer using positive exponents. (7a)(7a)

Explanation:

Step1: Apply multiplication rule of coefficients and variables

When multiplying two terms \((7a)(7a)\), we multiply the coefficients and the variables separately. The coefficient of the first - term is 7 and the coefficient of the second - term is 7. Also, we have the variable \(a\) in both terms.
\[ (7a)(7a)=(7\times7)(a\times a)\]

Step2: Calculate the product of coefficients and variables

We know that \(7\times7 = 49\) and \(a\times a=a^{1 + 1}=a^{2}\) according to the rule \(x^{m}\times x^{n}=x^{m + n}\) where \(x = a\), \(m = 1\), and \(n = 1\).
\[ (7\times7)(a\times a)=49a^{2}\]

Answer:

\(49a^{2}\)