Solution 1.3:5d

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Current revision (14:27, 22 September 2008) (edit) (undo)
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Using the power rules, the expression can first be simplified before it is calculated:
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Using the power rules, the expression can first be simplified before it is calculated
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{{Displayed math||<math>\bigl(47^{\frac{2}{3}}\bigr)^{3} = 47^{\frac{2}{3}\cdot 3} = 47^{2} = 47\cdot 47 = 2209\,</math>.}}
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<math>\left( 47^{\frac{2}{3}} \right)^{3}=47^{\frac{2}{3}\centerdot 3}=47^{2}=47\centerdot 47=2209</math>
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Current revision

Using the power rules, the expression can first be simplified before it is calculated

\displaystyle \bigl(47^{\frac{2}{3}}\bigr)^{3} = 47^{\frac{2}{3}\cdot 3} = 47^{2} = 47\cdot 47 = 2209\,.