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

This math topic focuses on the skill of expressing non-square integer bases with fractional exponents as factored radicals. Students are challenged to factor a base number and then rewrite it under a radical, specifically utilizing the square root operation. The problems within the topic offer various integers for factorization, aiming to develop and reinforce students' understanding of the connection between exponents, factorization, and radicals. This exercise is part of an introductory unit on fractional bases and exponents, enhancing students' competency in manipulating expressions involving powers and roots.

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 Radical

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

16(12)16^{(\frac{1}{2})}