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Simplify. Express your answer using positive exponents. \newline10y2y2\frac{10y}{2y^2}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline10y2y2\frac{10y}{2y^2}
  1. Write Expression: Write down the expression to be simplified. 10y2y2\frac{10y}{2y^2}
  2. Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression.\newlineDivide 1010 by 22.\newline102=5\frac{10}{2} = 5
  3. Simplify Variables: Simplify the variable parts of the expression.\newlineWhen dividing powers with the same base, subtract the exponents.\newliney1/y2=y(1−2)=y−1y^1 / y^2 = y^{(1-2)} = y^{-1}
  4. Rewrite Exponent: Since we need to express the answer using positive exponents, rewrite y−1y^{-1} as 1/y11/y^1 or simply 1/y1/y. \newline5×y−1=5y5 \times y^{-1} = \frac{5}{y}
  5. Combine Results: Combine the results from Step 22 and Step 44 to write the final simplified expression. 5y\frac{5}{y}

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