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Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________

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Q. Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
  1. Identify components: Identify the components of the expression that can be combined.\newlineWe have two parts to this expression: the coefficients (99 and 55) and the powers of pp (p5p^5 and p8p^8). We can multiply the coefficients together and add the exponents of the powers of pp since they have the same base.
  2. Multiply coefficients: Multiply the coefficients.\newlineCalculate 99 multiplied by 55.\newline9×5=459 \times 5 = 45
  3. Combine powers of p: Combine the powers of p.\newlineWhen multiplying powers with the same base, add the exponents.\newlinep5×p8=p(5+8)=p13p^5 \times p^8 = p^{(5+8)} = p^{13}
  4. Write in simplest form: Write the expression in its simplest form.\newlineCombine the results from Step 22 and Step 33.\newline(9p5)(5p8)=45p13(9p^5)(5p^8) = 45 \cdot p^{13}

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