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

This math topic focuses on practicing the manipulation of fractional exponents with non-square integer bases. Specifically, students learn how to simplify expressions by factoring the base before applying the fractional exponent. Problems involve converting a base into its factored form and thereafter applying fractional exponents like \( \frac{1}{2}, \frac{1}{3}, \text{ or } \frac{1}{4} \) to these factored forms. Each question is designed to help students understand how factorization can simplify the calculation of powers, enhancing their skills in handling exponents and powers involving integers and fractions.

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

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

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Factor the base number to make it easier to solve

80(12)80^{(\frac{1}{2})}