WBCS.LIVE practice question

216(2/3) ÷ (p2/9)(–3/2) = 2x 3y pz , the values of x, y, z are

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. x = 2, y = –1, z = 3
  2. x = –1, y = 2, z = 3
  3. x = 3, y = –1, z = 2
  4. x = 2, y = 3, z = –1

Correct answer and explanation

Correct answer: x = 2, y = –1, z = 3

Explanation: ✅ Correct Answer: A. x = 2, y = –1, z = 3 📚 Explanation: By simplifying the exponents on the left side: 216 is 6 cubed, so 216 to the power 2/3 is 6 squared, which is 36 (or 2 squared multiplied by 3 squared). The second part involves p and 9. Equating the bases (2, 3, and p) and their respective exponents from both sides leads to the values x = 2, y = -1, and z = 3. This math problem requires the application of the laws of indices.