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Simplify. Express your answer using positive exponents.\newline(10p)(3p4)(10p)(3p^4)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(10p)(3p4)(10p)(3p^4)
  1. Multiply Coefficients and Variables: Multiply the coefficients and the variables separately.\newlineCalculation: (10p)(3p4)=(10×3)(p×p4)(10p)(3p^4) = (10 \times 3)(p \times p^4)
  2. Calculate Product of Coefficients: Calculate the product of the coefficients.\newlineCalculation: 10×3=3010 \times 3 = 30
  3. Apply Exponent Property: Apply the property of exponents to multiply pp and p4p^4.\newlineCalculation: p×p4=p(1+4)=p5p \times p^4 = p^{(1+4)} = p^5
  4. Combine Results: Combine the results from the previous steps.\newlineCalculation: 30×p5=30p530 \times p^5 = 30p^5

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