Question

Write the following in the form of 5power n.
1) 625
2)
$\frac{1}{5}$

3)
$\sqrt{5}$
4)
$\sqrt{125}$


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Answer 1

$625 = 5 \times 5 \times 5 \times 5 = {5}^{4}$

$\frac{1}{5} = {5}^{ - 1}$

$\sqrt{5} = {5}^{ \frac{1}{2} }$

$\sqrt{125} = \sqrt{5 \times 5 \times 5 } = 5 \sqrt{5} \\ 5 ({5}^{ \frac{1}{2} } ) = {5}^{1 + \frac{1}{2} } \\ {5}^{ \frac{3}{2} }$