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Exponents - Fractional Exponents with Integer Base - Explanation to Answer (Level 1)

This math topic deals with the concept of fractional exponents with integer bases. Students are required to identify what a given fractional exponent represents. It involves simplifying expressions such as figuring out what \( x^{1/2} \) equals when \( x \) is an integer. This involves understanding and applying the rules of radicals and exponents. The problems involve common bases like 4, 9, 16, 25, and 36, converting them through fractional exponents to derive specific integer or radical results. Each question offers multiple choices and requires the application of simplifying square roots.

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Fractional Exponents with Integer Base - Explanation to Answer

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

9(12)â‹…9(12)=99(12)=?9^{(\frac{1}{2})} \cdot 9^{(\frac{1}{2})} = 9 \\ 9^{(\frac{1}{2})} = ?