Simplify: (m¹⁄₃ n⁻²)³⁄₅?
- m¹⁄₅ n⁻⁶⁄₅
- m²⁄₅ n⁻⁶⁄₅
- m³⁄₈ n⁻²⁄₅
- 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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