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Simplify. Express your answer using positive exponents. \newline6k3k9\frac{6k}{3k^9}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline6k3k9\frac{6k}{3k^9}
  1. Simplify Fraction: Simplify the fraction by dividing the coefficients and subtracting the exponents of kk.6k3k9=(63)∗(k1−9)\frac{6k}{3k^9} = \left(\frac{6}{3}\right) * \left(k^{1-9}\right)= 2∗k−82 * k^{-8}
  2. Convert Negative Exponent: Convert the negative exponent to a positive exponent by writing k−8k^{-8} as 1/k81/k^8.\newline2⋅k−8=2/k82 \cdot k^{-8} = 2/k^8

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