Lösung 3.1:1b

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The expression
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The expression <math>\sqrt{7^{5}}</math> can be written as <math>(7^{5})^{1/2}</math>
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<math>\sqrt{\text{7}^{\text{5}}\text{ }}</math>
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and then the power rules give that this is equal to <math>7^{5\cdot \frac{1}{2}} = 7^{5/2}</math>.
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can be written as
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<math>(\text{7}^{\text{5}})^{\text{1}/\text{2}}\text{ }</math>
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and then the power rules give that this is equal to
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<math>7^{5\centerdot \frac{1}{2}}=7^{{5}/{2}\;}</math>
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Version vom 07:35, 30. Sep. 2008

The expression \displaystyle \sqrt{7^{5}} can be written as \displaystyle (7^{5})^{1/2} and then the power rules give that this is equal to \displaystyle 7^{5\cdot \frac{1}{2}} = 7^{5/2}.