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Simplify. Express your answer using positive exponents.\newline9k3k\frac{9k}{3k}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline9k3k\frac{9k}{3k}
  1. Simplify fraction: Simplify the fraction by dividing the numerator and the denominator by the common factor kk. \frac{\(9\)k}{\(3\)k} = \left(\frac{\(9\)}{\(3\)}\right) \cdot \left(\frac{k}{k}\right)
  2. Calculate coefficients division: Calculate the division of the coefficients. \(\frac{9}{3} = 3
  3. Simplify k/kk/k: Simplify k/kk/k, which is equal to 11 since any non-zero number divided by itself is 11.\newlinek/k=1k/k = 1
  4. Multiply results: Multiply the results from Step 22 and Step 33.\newline3×1=33 \times 1 = 3
  5. Write final expression: Write the final simplified expression.\newlineThe expression 9k3k\frac{9k}{3k} simplifies to 33.

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