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Simplify: (5p^(4))(5p) Answer:

Simplify:\newline(5p4)(5p) \left(5 p^{4}\right)(5 p) \newlineAnswer:

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Full solution

Q. Simplify:\newline(5p4)(5p) \left(5 p^{4}\right)(5 p) \newlineAnswer:
  1. Multiply Coefficients: We need to multiply the two terms together. According to the associative property of multiplication, we can multiply the coefficients (numbers) together and the variables with the same base separately.\newlineCalculation: 5×55 \times 5(p4×p)(p^4 \times p)
  2. Multiply Variables: Multiply the coefficients (numbers) together.\newlineCalculation: 5×5=255 \times 5 = 25
  3. Combine Results: Multiply the variables with the same base by adding their exponents, according to the laws of exponents.\newlineCalculation: p4×p=p4+1=p5p^4 \times p = p^{4+1} = p^5
  4. Combine Results: Multiply the variables with the same base by adding their exponents, according to the laws of exponents.\newlineCalculation: p4×p=p4+1=p5p^4 \times p = p^{4+1} = p^5 Combine the results from the previous steps to get the final simplified expression.\newlineCalculation: 25p525p^5

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