Ответ: x=25.
Объяснение:
1. (√(x³))*(x⁻²/³)=x³/²*x⁻²/³=x⁽³/²⁾⁻⁽²/³⁾=x⁵/⁶.
2. (∛√x)*x⁵/⁶=(x¹/⁶)*(x⁵/⁶).
3. (x¹/⁶)*(x⁵/⁶)/x⁵/⁶=x¹/⁶.
4. x¹/⁶=∛5 (x¹/⁶)⁶=(∛5)⁶ x=5²=25.
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Verified answer
Ответ: x=25.
Объяснение:
1. (√(x³))*(x⁻²/³)=x³/²*x⁻²/³=x⁽³/²⁾⁻⁽²/³⁾=x⁵/⁶.
2. (∛√x)*x⁵/⁶=(x¹/⁶)*(x⁵/⁶).
3. (x¹/⁶)*(x⁵/⁶)/x⁵/⁶=x¹/⁶.
4. x¹/⁶=∛5 (x¹/⁶)⁶=(∛5)⁶ x=5²=25.