Question

simplify. express your answer using exponents.\\((j^{12}k^{-9})^{5}\\)

Explanation:

Step1: Apply power of a product rule

$(j^{12}k^{-9})^5 = (j^{12})^5 \cdot (k^{-9})^5$

Step2: Apply power of a power rule

$(j^{12})^5 = j^{12 \times 5} = j^{60}$; $(k^{-9})^5 = k^{-9 \times 5} = k^{-45}$

Step3: Combine the results

$j^{60} \cdot k^{-45}$

Answer:

$j^{60}k^{-45}$