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Find the product. Simplify your answer.\newline(−8a)(−6a4)(-8a)(-6a^4)

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Full solution

Q. Find the product. Simplify your answer.\newline(−8a)(−6a4)(-8a)(-6a^4)
  1. Identify Expression: Identify the expression to be simplified.\newlineWe need to multiply (−8a)(-8a) by (−6a4)(-6a^4).
  2. Apply Distributive Property: Apply the distributive property to multiply the two terms.\newline(−8a)(−6a4)=(−8×−6)(a×a4)(-8a)(-6a^4) = (-8 \times -6)(a \times a^4)
  3. Multiply Coefficients and Exponents: Multiply the coefficients and add the exponents for the variable aa.(−8×−6)=48 (-8 \times -6) = 48 a×a4=a(1+4)=a5 a \times a^4 = a^{(1+4)} = a^5
  4. Combine Results: Combine the results to get the final product. 48a548a^5 is the simplified form of (−8a)(−6a4)(-8a)(-6a^4).

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