Question

The 100th root of 10 raise to power to power 10 is

Answer 1

Solution:-
There is a mistake in the question. The question should be- the 100th root of 10 raise to power 10 raise to power 10.
⇒ 100√10¹⁰^¹⁰
⇒ 100√10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰
⇒ 10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰/¹⁰⁰
⇒ 10¹⁰⁰⁰⁰⁰⁰⁰⁰
⇒ 10¹⁰^⁸  Answer

Answer 2

100th  root

$\sqrt[100]{10^{10^{10}}} = \sqrt[100]{10^{10000000000}}\\\\=(10^{10000000000})^\frac{1}{100}\\\\=10^{10000000}\\\\=10^{10^{8}}$