Question

What is the value of x
$\sqrt{7 \sqrt{7 \sqrt{7 \sqrt{7 \sqrt{7} } } } } = {7}^{x}$
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Answer 1

Answer:

$\huge \tt {7}^{ \frac{1}{32} }$

Step-by-step explanation:

$\huge \tt \sqrt{7} = {7}^{ \frac{1}{2} } \\ \\ \tt so \: in \: this \: ways \: 5 \: \sqrt{7} = ( {7}^{ \frac{1}{4} )^{ \frac{1}{8} } } = {7}^{ \frac{1}{32} }$

Answer 2

Answer:

7^1/32

Step-by-step explanation:

(7) ^ 1/2^5

= 7^1/32

Hope it helps !!