Question

if root 5power n =125 then 5 under root 64 power n

Answer 1

$( \sqrt{5}) {}^{n} = 125$

$(5) {}^{n \div 2} = 5 {}^{3}$

Now bases are same caompare powers

n/2 = 3

n = 6

Now
$5( \sqrt{64} ) {}^{n}$

$5(8) {}^{n}$

put n = 6

$(40) {}^{6}$


Thanks