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Simplify. Express your answer using positive exponents. \newline2p52p\frac{2p^5}{2p}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline2p52p\frac{2p^5}{2p}
  1. Write Expression: Write down the expression to be simplified.\newlineWe have the expression 2p52p\frac{2p^5}{2p}, which means 2p52p^5 divided by 2p2p.
  2. Simplify Coefficients: Simplify the coefficients.\newlineBoth the numerator and the denominator have a coefficient of 22. We can divide these coefficients by each other to get 11.\newline22=1\frac{2}{2} = 1
  3. Simplify Variables: Simplify the variables with exponents.\newlineWe have p5p^5 in the numerator and pp in the denominator. When dividing powers with the same base, we subtract the exponents.\newlinep5/p=p5−1=p4p^5 / p = p^{5-1} = p^4
  4. Combine Simplified Terms: Combine the simplified coefficients and variables.\newlineSince the coefficient is 11, it does not need to be written explicitly. The simplified expression is just p4p^4.

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