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Solve for vv.\newlinev=19\sqrt{v} = \frac{1}{9}\newlineWrite your answer as a fraction.\newlinev=v = _____\_\_\_\_\_

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Full solution

Q. Solve for vv.\newlinev=19\sqrt{v} = \frac{1}{9}\newlineWrite your answer as a fraction.\newlinev=v = _____\_\_\_\_\_
  1. Identify Equation & Operation: Identify the equation and the operation needed to isolate vv. We have v=19\sqrt{v} = \frac{1}{9}. To solve for vv, we need to square both sides of the equation to eliminate the square root.
  2. Square Both Sides: Square both sides of the equation. \newline(\sqrt{v})^\(2 = (\frac{11}{99})^22
  3. Simplify Equation: Simplify both sides of the equation. v=(19)∗(19)v = \left(\frac{1}{9}\right) * \left(\frac{1}{9}\right)
  4. Calculate Square: Calculate the square of 19\frac{1}{9}.\newlinev=181v = \frac{1}{81}

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