Question

31. If √5n = 125, then 5n√64=
(a) 25 (6) 1/125
(c) 625
(d)1/5
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Answer 1

here is ur answer:

$\sqrt{ {5}^{n} } = 125 \\ \\ on \: sq \: both \: sides \\ \\ {5}^{n} = {125}^{2} \\ \\ {5}^{n} = {( {5}^{3}) }^{2} \\ \\ {5}^{n} = {5}^{6} \\ \\ on \: comparing \: both \: sides \\ \\ n = 6 \\ \\ \\ {5}^{ \sqrt[n]{64} } \\ \\ = {5}^{ \sqrt[6]{64} } \\ \\ = {5}^{2} \\ \\ = 25$

hope it helps you ❤

Answer 2

Answer:

25

Step-by-step explanation: