An algebra problem by Sakanksha Deo

Algebra Level 2

The 100 0 th 1000^{\text{th}} root of 1 0 1 0 10 10^{ 10^{10}} is?

1 0 7 10 10^{7^{10}} 100 1 0 ( 10 ) 10 10^{ ( \sqrt{10} )^{ \sqrt{10}}} 1 0 1 0 7 10^{ 10^{7}}

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Sakanksha Deo by Sakanksha Deo , 23, India

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1 solution

Zyberg Nee
Oct 17, 2015

The 100 0 t h 1000^{th} root is equal to the power of 1 1000 \frac{1}{1000} which is equal to 1 1 0 3 \frac{1}{10^{3}}

1 0 1 0 1 0 1 1 0 3 = 1 0 1 0 7 10^{10^{10^{\frac{1}{10^{3}}}}} = 10^{10^{7}}

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