Question

Place the following list of numbers with the given labels in order of greatest to least.
$F={\left({10}^{10}\right)}^{10}$

$G={10}^{10}$ ${10}^{10}$

$H=\frac{{10}^{100}}{{10}^{10}}$

$I=100$

• A. $F,G,H,I$
• B. $G,F,H,I$
• C. $F,H,G,I$
• D. $H,F,G,I$

Answer 1

The correct option is C $F,H,G,I$

$F={\left({10}^{10}\right)}^{10}={10}^{10\times 10}={10}^{100}$

$G={10}^{10}$ ${10}^{10}={10}^{10+10}={10}^{20}$

$H=\frac{{10}^{100}}{{10}^{10}}={10}^{100-10}={10}^{90}$

$I=100$

Clearly $F>H>G>I$