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Find the product. Simplify your answer.\newline(−4s4)(9s)(-4s^4)(9s)

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Full solution

Q. Find the product. Simplify your answer.\newline(−4s4)(9s)(-4s^4)(9s)
  1. Identify and Distribute: Identify the expression and use the distributive property to multiply the monomials.\newline(−4s4)(9s)=(−4×9)(s4×s)(-4s^4)(9s) = (-4 \times 9)(s^4 \times s)
  2. Calculate Coefficients: Calculate the product of the coefficients −4-4 and 99.−4×9=−36-4 \times 9 = -36
  3. Apply Exponent Rule: Apply the product rule for exponents to multiply s4s^4 and ss. \newlines4×s=s(4+1)=s5s^4 \times s = s^{(4+1)} = s^5
  4. Combine Results: Combine the results from the previous steps to get the final simplified product.\newline(−4s4)(9s)=−36s5(-4s^4)(9s) = -36s^5

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