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Simplify. Express your answer using positive exponents.\newline10f85f\frac{10f^8}{5f}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline10f85f\frac{10f^8}{5f}
  1. Write Expression, Identify Terms: Write down the given expression and identify the terms that can be simplified.\newlineWe have the expression 10f85f\frac{10f^8}{5f}. We can simplify this by dividing the coefficients (numerical parts) and subtracting the exponents of like bases according to the laws of exponents.
  2. Divide Coefficients: Divide the coefficients.\newlineDivide 1010 by 55 to get 22.\newline10/5=210/5 = 2
  3. Simplify Powers of f: Simplify the powers of f.\newlineAccording to the laws of exponents, when we divide powers with the same base, we subtract the exponents.\newlinef8/f1=f(8−1)=f7f^8 / f^1 = f^{(8-1)} = f^7
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe multiply the coefficient from Step 22 with the result from Step 33 to get the final simplified expression.\newline2×f7=2f72 \times f^7 = 2f^7

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