Answer:
⁴√x³
Step-by-step explanation:
According to the Definition of Rational Exponents [part I] , rewrite the radicals as exponents, with your root being your denominator and your index being your numerator. This is when your numerator is 1:
aᵐ\ⁿ = ⁿ√aᵐ
√x → x¹\² → x²\⁴ [Least Common Denominator (LCD)]
⁴√x→ x¹\⁴
Then, according to the Product-to-Power Exponential Rule, whenever you multiply terms with exponents, you add the exponents:
x²\⁴ + x¹\⁴ = x³\⁴
Definition of Radical Exponents [part II (numerator is greater than 1)] → convert back to radical form:
x³\⁴ → ⁴√x³
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