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The terms ww, xx, yy and zz are linked by the following relation: x2y=3wz13x^2y = \frac{3w}{z^{\frac{1}{3}}}. What is the correct expression for the term zz?

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Q. The terms ww, xx, yy and zz are linked by the following relation: x2y=3wz13x^2y = \frac{3w}{z^{\frac{1}{3}}}. What is the correct expression for the term zz?
  1. Isolate z13z^{\frac{1}{3}}: Isolate z13z^{\frac{1}{3}} by multiplying both sides of the equation by z13z^{\frac{1}{3}}. \newlineCalculation: z13×x2y=3wz^{\frac{1}{3}} \times x^2y = 3w
  2. Divide and Solve: Divide both sides by x2yx^2y to solve for z13z^{\frac{1}{3}}.\newlineCalculation: z13=3wx2yz^{\frac{1}{3}} = \frac{3w}{x^2y}
  3. Cube to Find z: Cube both sides to solve for z.\newlineCalculation: z=(3wx2y)3z = \left(\frac{3w}{x^2y}\right)^3

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