Exponents - Negative Fractional Exponents with Non-Square Integer Base - Exponent to Factored Radical (Level 1)

This math topic focuses on practicing how to work with negative fractional exponents involving non-square integer bases, specifically by factoring the base number and expressing the result as a radical. Each problem presents an integer raised to the power of a negative fractional exponent, and students are required to simplify these expressions by breaking down the base number into its prime factors and converting the exponentiation into a radical form. Multiple choice answers are provided for students to ascertain the correct simplified expression. This is part of a broader unit on negative bases and exponents.

Negative Fractional Exponents with Non-Square Integer Base - Exponent to Factored Radical

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Factor this exponent's base number and express it as a radical

180(12)180^{(\frac{-1}{2})}