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Simplify. Express your answer using positive exponents.\newline(4u8)(5u)(4u^8)(5u)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(4u8)(5u)(4u^8)(5u)
  1. Multiply Coefficients and Variables: Multiply the coefficients and the variables separately.\newlineCalculation: (4u8)(5u)=(4×5)(u8×u)(4u^8)(5u) = (4 \times 5)(u^8 \times u)
  2. Calculate Product of Coefficients: Calculate the product of the coefficients.\newlineCalculation: 4×5=204 \times 5 = 20
  3. Combine Powers of Variables: Apply the rule of exponents am×an=am+na^m \times a^n = a^{m+n} to combine the powers of uu.\newlineCalculation: u8×u=u8+1=u9u^8 \times u = u^{8+1} = u^9

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