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Simplify. Express your answer using positive exponents.\newline(4k8)(3k7)(6k5)(4k^8)(3k^7)(6k^5)

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Q. Simplify. Express your answer using positive exponents.\newline(4k8)(3k7)(6k5)(4k^8)(3k^7)(6k^5)
  1. Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms.\newlineWe have the coefficients 44, 33, and 66. Multiplying these together gives us:\newline4×3×6=724 \times 3 \times 6 = 72
  2. Apply Product Rule: Apply the product rule for exponents to the variables.\newlineThe product rule states that when multiplying powers with the same base, we add the exponents.\newlinek8×k7×k5=k(8+7+5)=k20k^8 \times k^7 \times k^5 = k^{(8+7+5)} = k^{20}
  3. Combine Results: Combine the results from Step 11 and Step 22 to get the final simplified expression.\newlineMultiplying the coefficient we found in Step 11 with the result from Step 22 gives us:\newline72k2072k^{20}

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