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Find the product. Simplify your answer.\newline(8c3)(6c4)(-8c^3)(-6c^4)

Full solution

Q. Find the product. Simplify your answer.\newline(8c3)(6c4)(-8c^3)(-6c^4)
  1. Identify and Apply Distributive Property: Identify the expression and apply the distributive property.\newlineWe need to multiply 8c3-8c^3 by 6c4-6c^4.
  2. Simplify Coefficients: Simplify the product of the coefficients.\newlineMultiply 8-8 by 6-6.\newline8×6=48-8 \times -6 = 48
  3. Simplify Variables: Simplify the product of the variables.\newlineMultiply c3c^3 by c4c^4.\newlineUsing the property of exponents, we add the exponents when multiplying like bases.\newlinec3×c4=c(3+4)=c7c^3 \times c^4 = c^{(3+4)} = c^7
  4. Combine Coefficients and Variables: Combine the simplified coefficients and variables. 48×c748 \times c^7 This is the simplified form of the product.

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