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Simplify. Express your answer using positive exponents.\newline(5p)(7p6)(5p)(7p^6)

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Q. Simplify. Express your answer using positive exponents.\newline(5p)(7p6)(5p)(7p^6)
  1. Identify Components: Identify the components of the expression.\newlineWe have two terms, 5p5p and 7p67p^6, which we need to multiply together. Both terms have the variable pp, so we can use the property of exponents that states when multiplying like bases, we add the exponents.
  2. Multiply Coefficients: Multiply the coefficients (numbers in front of the variables).\newlineMultiply 55 by 77 to get the coefficient for the final answer.\newline5×7=355 \times 7 = 35
  3. Apply Exponent Rule: Apply the exponent rule for multiplying like bases.\newlineSince both terms have the base pp, we add the exponents. The first term has an implied exponent of 11 (pp is the same as p1p^1), so we add 11 and 66.\newlinep1×p6=p(1+6)=p7p^1 \times p^6 = p^{(1+6)} = p^7
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have the coefficient 3535 from Step 22 and the variable with the exponent p7p^7 from Step 33. We combine these to get the final simplified expression.\newline35×p7=35p735 \times p^7 = 35p^7

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