Question

237. Reprezentați în formă de puterea unui număr natural de o cifră fracția:
$1) \frac{1}{49}$
$2) \frac{1}{216}$
$3) \frac{1}{625}$
$4) \frac{1}{128}$
​

Answer 1

$\displaystyle\bf\\1)\\\\\frac{1}{49} =\frac{1}{7^{2} } =7^{-2} \\\\2)\\\\\frac{1}{216} =\frac{1}{6^{3} } =6^{-3} \\\\3)\\\\\frac{1}{625} =\frac{1}{5^{4} } =5^{-4} \\\\4)\\\\\frac{1}{128} =\frac{1}{2^{7} } =2^{-7}$