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Simplify. Express your answer using positive exponents. \newline5k55k\frac{5k^5}{5k}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline5k55k\frac{5k^5}{5k}
  1. Simplify coefficients and powers: Simplify the coefficients and the powers of kk separately.5k55k=(55)×(k5k)\frac{5k^5}{5k} = \left(\frac{5}{5}\right) \times \left(\frac{k^5}{k}\right)
  2. Simplify 5/55 / 5: Simplify 5/55 / 5.5/5=15 / 5 = 1
  3. Simplify k5/kk^5 / k: Simplify k5/kk^5 / k using the laws of exponents.\newlinek5/k=k(5−1)=k4k^5 / k = k^{(5-1)} = k^4
  4. Combine simplified results: Combine the simplified results.\newline1×k4=k41 \times k^4 = k^4

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