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Sticky Note
Simplify: (m¹⁄₃ n⁻²)³⁄₅?
  1. m¹⁄₅ n⁻⁶⁄₅
  2. m²⁄₅ n⁻⁶⁄₅
  3. m³⁄₈ n⁻²⁄₅
  4. None of these
Explanation

When a power is raised to another power, we multiply exponents:

(m¹⁄₃)³⁄₅ = m^(1/3 × 3/5) = m¹⁄₅

(n⁻²)³⁄₅ = n^(-2 × 3/5) = n⁻⁶⁄₅

So the simplified form is m¹⁄₅ n⁻⁶⁄₅.


Last verified on 24-06-2026

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