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Exponents - Fractional Exponents with Unit Fractional Base (Level 1)

This math topic focuses on fractional exponents with unit fractional bases. Students solve problems where a unit fraction is raised to the power of another fraction, specifically a half. The goal is to find the square root of various unit fractions, such as \( \left(\frac{1}{4}\right)^{1/2} \), \( \left(\frac{1}{49}\right)^{1/2} \), \( \left(\frac{1}{25}\right)^{1/2} \), \( \left(\frac{1}{9}\right)^{1/2} \), and \( \left(\frac{1}{121}\right)^{1/2} \). Each question is followed by a selection of options, and students must identify the correct simplification from multiple choices. This activity is designed to enhance understanding of the properties of exponents, particularly their application to fractions.

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

Fractional Exponents with Unit Fractional Base

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Find the answer when this fraction is raised to its exponent

(125)(12)(\frac{1}{25})^{(\frac{1}{2})}