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

This math topic focuses on practicing negative fractional exponents with integer bases. Specifically, learners are challenged to express terms with negative fractional exponents as radicals. Questions require understanding and applying properties of negative fractional exponents such as \( a^{-\frac{1}{2}} \) and how they represent the reciprocal of the square root of \( a \). Each question provides multiple-choice responses involving the simplification of exponential expressions into radical form, assessing learners' abilities to manipulate and interpret expressions involving roots and radicals based on given hints and integer bases such as 25, 9, 36, 16, and 4.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Negative Fractional Exponents with Integer Base - Explanation to Radical

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

25(−12)⋅25(−12)=12525(−12)=?25^{(\frac{-1}{2})} \cdot 25^{(\frac{-1}{2})} = \frac{1}{25} \\ 25^{(\frac{-1}{2})} = ?