Subjects algebra

Exponent Square Root 2B0502

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1. The problem involves an expression where the exponent is a square root in the denominator. 2. Let's consider a general expression of the form $$y = a^{\frac{1}{\sqrt{b}}}$$ where $a$ and $b$ are positive numbers. 3. The exponent $\frac{1}{\sqrt{b}}$ means the power is the reciprocal of the square root of $b$. 4. To simplify or work with this expression, you can rewrite the exponent as $$\frac{1}{\sqrt{b}} = \frac{\sqrt{b}}{b}$$ by multiplying numerator and denominator by $\sqrt{b}$. 5. So the expression becomes $$y = a^{\frac{\sqrt{b}}{b}}$$ which can be interpreted as $$y = \left(a^{\sqrt{b}}\right)^{\frac{1}{b}}$$. 6. This shows the exponentiation can be broken down into a root and a power, which is useful for simplification or evaluation. 7. If you have a specific expression or values for $a$ and $b$, please provide them for a detailed solution.