Question

simplify. express your answer using positive exponents.
8k⁹·4k⁹

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 4. So, \(8\times4 = 32\).

Step2: Multiply the variables with exponents

Using the rule \(a^m\cdot a^n=a^{m + n}\), for \(k^9\cdot k^9\), we add the exponents: \(9+9 = 18\), so \(k^9\cdot k^9=k^{18}\).

Step3: Combine the results

Multiply the results from Step 1 and Step 2. So, \(8k^9\cdot4k^9=32k^{18}\).

Answer:

\(32k^{18}\)