Question 187404
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Remember that a fractional exponent means raise to the power of the numerator and take the root of the denominator


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = \sqrt[3]{T^2}]


Alternatively you could say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = (\sqrt[3]{T})^2]


Same thing.  Now all you need to do is substitute the given value for <i>T</i> and start punching buttons on the calculator:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = \sqrt[3]{(1881)^2}]


For the other problem, you need to solve:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}}]


for <i>T</i> by cubing both sides, and then taking the square root:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ T=R^{\frac{3}{2}}= sqrt{R^3}]


Now, just plug in the given value for R and get to work with your calculator.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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