Question

simplify. express your answer using positive exponents.
(5z)(9z)

Explanation:

Step1: Multiply the coefficients

Multiply 5 and 9. So, \(5\times9 = 45\).

Step2: Multiply the variables

Using the rule of exponents \(a^m\times a^n=a^{m + n}\), for \(z\times z\), we have \(z^1\times z^1=z^{1 + 1}=z^2\).

Step3: Combine the results

Combine the coefficient and the variable. So, \((5z)(9z)=45z^2\).

Answer:

\(45z^2\)