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Simplify. Express your answer using positive exponents. \newline5f5f4\frac{5f}{5f^4}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline5f5f4\frac{5f}{5f^4}
  1. Identify and Simplify: Identify and simplify the expression by separating the coefficients and the variables. 5f5f4=55×ff4\frac{5f}{5f^4} = \frac{5}{5} \times \frac{f}{f^4}
  2. Simplify Coefficients and Variables: Simplify the coefficients and the variable terms separately. \newline55=1\frac{5}{5} = 1 and ff4=f1−4=f−3\frac{f}{f^4} = f^{1-4} = f^{-3}
  3. Combine Simplified Terms: Combine the simplified terms.\newline1×f−3=f−31 \times f^{-3} = f^{-3}
  4. Express Final Answer: Express the final answer using positive exponents.\newlinef−3=1f3f^{-3} = \frac{1}{f^3}

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