The simplified answer is: " x⁽³/²⁾ / y " ; or, write as: " ∛(x²) / y " .
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√x * ([tex] \frac{x}{y} [/tex] =
(x⁽¹/²⁾ * x) / y ; Since: {√x = x⁽¹/²⁾ }.
Consider the numerator:
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x⁽¹/²⁾ * x ;
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x⁽¹/²⁾ * x = x⁽¹/²⁾ * x¹ =x⁽¹ ¹/²⁾ ⁺ ⁽¹⁾ = x⁽¹ ¹/²⁾ / y =
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x⁽³/²⁾ / y ; or, write as: ∛(x²) / y .
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