Question

simplify. express your answer using positive exponents. 2j·9j

Explanation:

Step1: Multiply the coefficients

Multiply 2 and 9. So, \(2\times9 = 18\).

Step2: Multiply the variables

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

Step3: Combine the results

Combine the coefficient and the variable part. So, \(2j\cdot9j=(2\times9)\times(j\times j)=18j^{2}\).

Answer:

\(18j^{2}\)