Convert Square Root, Values Only, to Exponents - Positive (Level 1)

This math topic focuses on converting square roots (radicals) to fractional exponents, specifically dealing with positive terms only. It is a beginner level part of a series on simplifying radicals. The exercises provide various radicals and ask learners to rewrite them using exponents in fractional form. This is practice for understanding and applying the conversion between two common notations of expressing roots in algebra, aiming to help build foundational skills in managing and simplifying expressions involving radicals. The problems include multiple choice answers.

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

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Radicals - Convert Square Root, Values Only, to Exponents - Positive Worksheet

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Math worksheet on 'Radicals - Convert Square Root, Values Only, to Exponents - Positive (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Convert the radical to a fractional exponent
A LaTex expression showing square root of 5
a A LaTex expression showing 10 to the power of 1 over 2
b A LaTex expression showing 5 to the power of -1 over 2
c A LaTex expression showing 20 to the power of 1 over 2
d A LaTex expression showing 5 to the power of 1 over 2
2
Convert the radical to a fractional exponent
A LaTex expression showing square root of 3
a A LaTex expression showing 3 to the power of 1 over 2
b A LaTex expression showing 3 to the power of 1 over 3
c A LaTex expression showing 3 to the power of -1 over 2
d A LaTex expression showing 9 to the power of 1 over 2
3
Convert the radical to a fractional exponent
A LaTex expression showing square root of 2
a A LaTex expression showing 4 to the power of 1 over 2
b A LaTex expression showing 2 to the power of -1 over 2
c A LaTex expression showing 2 to the power of 1 over 2
d A LaTex expression showing 6 to the power of 1 over 2
4
Convert the radical to a fractional exponent
A LaTex expression showing square root of 11
a A LaTex expression showing 11 to the power of -1 over 2
b A LaTex expression showing 44 to the power of 1 over 2
c A LaTex expression showing 33 to the power of 1 over 2
d A LaTex expression showing 11 to the power of 1 over 2