Question

simplify. express your answer using positive exponents.
(8k⁸)(3k⁷)

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 3.
\(8\times3 = 24\)

Step2: Multiply the variables with exponents

Use the rule \(a^m\times a^n=a^{m + n}\) for \(k^8\times k^7\).
\(k^8\times k^7=k^{8 + 7}=k^{15}\)

Step3: Combine the results

Combine the coefficient and the variable part.
\(24\times k^{15}=24k^{15}\)

Answer:

\(24k^{15}\)