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Exponents - Negative Fractional Exponents with Non-Square Integer Base - Factored Exponent to Answer (Level 2)

This math topic focuses on calculating exponents with negative fractional powers applied to non-square integer bases. The problems explore converting products raised to negative fractional exponents into simplified radical forms. Each question provides a distinct numerical expression involving factored bases and asks to find the correct simplified form among multiple choices. The topic engages learners in understanding and manipulating complex exponents with a focus on how negative and fractional exponents affect the base numbers. This enhances comprehension of exponential rules and operations within algebra.

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

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

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Find the answer when this factored number is raised to its exponent

(2⋅2⋅2⋅2⋅2⋅3)(−12)(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3)^{(\frac{-1}{2})}