Question

simplify. express your answer using positive exponents.
$8jk^{9} \cdot 7j^{15}k^{4}$

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients 8 and 7. So, \(8\times7 = 56\).

Step2: Multiply the \(j\) terms

Using the rule of exponents \(a^m \cdot a^n = a^{m + n}\), for the \(j\) terms: \(j^1 \cdot j^{15}=j^{1 + 15}=j^{16}\).

Step3: Multiply the \(k\) terms

Using the same exponent rule, for the \(k\) terms: \(k^9 \cdot k^4=k^{9 + 4}=k^{13}\).

Step4: Combine all terms

Combine the results from Step1, Step2, and Step3. So we get \(56j^{16}k^{13}\).

Answer:

\(56j^{16}k^{13}\)