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Simplify the expression (x^1/4/y^5/6)^12

User PtPazuzu
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Final answer:

The expression (x^1/4/y^5/6)^12 simplifies to x^3/y^10 by raising both numerator and denominator to the 12th power separately.

Step-by-step explanation:

To simplify the expression (x1/4 / y5/6)12, we need to apply the exponent to both the numerator and the denominator separately, which is an example of the Division of Exponentials. By multiplying the exponents, we get:

  • x1/4 raised to the 12th power is x(1/4)*12 or x3.
  • y5/6 raised to the 12th power is y(5/6)*12 or y10.

Therefore, the simplified expression is x3 / y10.

User Slimu
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