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Find the product. Simplify your answer.\newline(6u2)(5u4)(-6u^2)(-5u^4)

Full solution

Q. Find the product. Simplify your answer.\newline(6u2)(5u4)(-6u^2)(-5u^4)
  1. Identify expression: Identify the expression to be simplified.\newlineWe need to multiply two algebraic terms: (6u2)(-6u^2) and (5u4)(-5u^4).
  2. Use distributive property: Use the distributive property to multiply the coefficients and the variables separately.\newlineFirst, multiply the coefficients: (6)×(5)=30(-6) \times (-5) = 30.\newlineNext, multiply the variables: u2×u4=u(2+4)=u6u^2 \times u^4 = u^{(2+4)} = u^6.
  3. Combine final product: Combine the results from Step 22 to get the final product.\newlineThe product of the coefficients is 3030, and the product of the variables is u6u^6.\newlineSo, the final product is 30u630u^6.

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