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Find the product. Simplify your answer.\newline(−9w2)(−7w3)(-9w^2)(-7w^3)

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Full solution

Q. Find the product. Simplify your answer.\newline(−9w2)(−7w3)(-9w^2)(-7w^3)
  1. Identify and Distribute: Identify the expression and use the distributive property to multiply the two monomials.\newline(−9w2)(−7w3)=(−9×−7)(w2×w3)(-9w^2)(-7w^3) = (-9 \times -7)(w^2 \times w^3)
  2. Calculate Coefficients: Calculate the product of the coefficients.\newline−9×−7=63-9 \times -7 = 63
  3. Apply Exponent Rule: Apply the product rule for exponents (add the exponents when multiplying like bases).\newlinew2×w3=w(2+3)=w5w^2 \times w^3 = w^{(2+3)} = w^5
  4. Combine Results: Combine the results from the previous steps to get the final simplified product. 63w563w^5

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