Question

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$\sqrt{ {5}^{n} } = 125 \: then \: {5}^{n \sqrt{64} }$
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Answer 1

Step-by-step explanation:

$\sqrt{ {5}^{n} } = 125 \\ {5}^{n} = 5 \sqrt{5} \\ {5}^{n} = 5 \times {5}^{ \frac{1}{2} } \\ {5}^{n} = {5}^{ \frac{3}{2} } \\ n = \frac{3}{2}$

${5}^{n\sqrt{64} } \\ {5}^{8n} \\ {5}^{8 \times \frac{3}{2} } \\ {5}^{12}$

Answer 2

Answer:

According to question

Since,

√5^n = 125 => 5^n/2 = 5^3

=>>> n/2 = 3 = >>> n = 6

6√64 = (64) ^1/6 = (2^6) ^ 1/2 = 2

=>>> 5^n√ 64 = 5^6√64

= 5^2 = 25 ....

Step-by-step explanation:

#Hope you have satisfied with this answer.