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Solving Expressions with Fraction Exponents

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I can get the answers usually by calculator but I need to show my work.
(5^2/3)^7/2

(3^1/2)(12^1/2)

5^200 / 5^-201

(5^1/2)(11^1/2)

(21^1/2)(21^1/2)

also writing a decimal as a fraction in simplest form
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.0204 = 68/333 by calculator but how would I show my work without using a calulator.

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Solution Summary

Expressions with fractional exponents are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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