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Simplify. Express your answer using positive exponents.\newline6n52n\frac{6n^5}{2n}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline6n52n\frac{6n^5}{2n}
  1. Write Expression and Group: Write down the expression and group the coefficients and the powers of nn separately.6n52n\frac{6n^5}{2n} can be written as (62)×(n5n1)\left(\frac{6}{2}\right) \times \left(\frac{n^5}{n^1}\right).
  2. Simplify Coefficients: Simplify the coefficients by dividing 66 by 22.62=3\frac{6}{2} = 3.
  3. Simplify Powers of n: Simplify the powers of nn using the quotient rule of exponents (subtract the exponent in the denominator from the exponent in the numerator).\newlinen5n1=n5−1=n4\frac{n^5}{n^1} = n^{5-1} = n^4.
  4. Combine Coefficients and Powers: Combine the simplified coefficients and powers of nn.62×n5n1=3×n4\frac{6}{2} \times \frac{n^5}{n^1} = 3 \times n^4.
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression 6n52n\frac{6n^5}{2n} simplifies to 3n43n^4.

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