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Simplify. Express your answer using positive exponents.\newline9a53a\frac{9a^5}{3a}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline9a53a\frac{9a^5}{3a}
  1. Simplify coefficients and powers: Simplify the coefficients and the powers of aa.9a53a=(93)⋅(a5a)\frac{9a^5}{3a} = \left(\frac{9}{3}\right) \cdot \left(\frac{a^5}{a}\right)
  2. Calculate division: Calculate 99 divided by 33.\newline9/3=39 / 3 = 3
  3. Apply laws of exponents: Simplify a5/aa^5 / a using the laws of exponents.\newlinea5/a=a5−1=a4a^5 / a = a^{5-1} = a^4
  4. Combine results: Combine the results from the previous steps.\newline3×a4=3a43 \times a^4 = 3a^4

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