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Simplify. Express your answer using positive exponents.\newline5p55p\frac{5p^5}{5p}

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Q. Simplify. Express your answer using positive exponents.\newline5p55p\frac{5p^5}{5p}
  1. Write Expression: Write down the expression to be simplified.\newline5p55p\frac{5p^5}{5p}
  2. Simplify Coefficients: Simplify the coefficients (numbers in front of the variables).\newlineSince both the numerator and the denominator have a coefficient of 55, they can be divided by each other, which equals 11.\newline55=1\frac{5}{5} = 1
  3. Apply Quotient Rule: Apply the quotient rule for exponents to simplify the variable part.\newlineThe quotient rule states that when dividing like bases, you subtract the exponents.\newlinep5/p1=p51=p4p^5/p^1 = p^{5-1} = p^4
  4. Combine Simplified Terms: Combine the simplified coefficients and variables.\newlineSince the coefficient simplifies to 11, it does not need to be written.\newlineThe final simplified expression is p4p^4.

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