Question

simplify. express your answer using positive exponents. 4b·7b

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 7. So, \(4\times7 = 28\).

Step2: Multiply the variables using exponent rule

For the variable \(b\), we use the rule \(a^m\times a^n=a^{m + n}\). Here, \(b = b^1\), so \(b\times b=b^{1 + 1}=b^2\).

Step3: Combine the results

Multiply the result from Step1 and Step2. So, \(4b\times7b=28b^2\).

Answer:

\(28b^2\)