Fractional Exponents with Integer Base - Explanation to Radical (Level 2)

The math topic focuses on understanding and applying the concept of fractional exponents with integer bases. It guides learners to interpret expressions like \(8^{1/3}\) and relate them to their equivalent radical forms, such as the cube root of 8. Each problem presents a numerical base raised to a fractional exponent and requires identifying the radical equivalent of the expression. This is practiced through a series of exercises that provide different integer bases and fractional exponents, enhancing the learner's proficiency in simplifying complex exponential expressions to their root forms.

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Fractional Exponents with Integer Base - Explanation to Radical

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Given the hint, what is the fractional exponent the same as?

32(15)32(15)32(15)32(15)32(15)=3232(15)=?32^{(\frac{1}{5})} \cdot 32^{(\frac{1}{5})} \cdot 32^{(\frac{1}{5})} \cdot 32^{(\frac{1}{5})} \cdot 32^{(\frac{1}{5})} = 32 \\ 32^{(\frac{1}{5})} = ?

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