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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