Solution 3.1:1b

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The expression
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<center> [[Image:3_1_1b.gif]] </center>
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<math>\sqrt{\text{7}^{\text{5}}\text{ }}</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>

Revision as of 10:02, 22 September 2008

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

\displaystyle 7^{5\centerdot \frac{1}{2}}=7^{{5}/{2}\;}

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