Question

If $a=(100{)}^{\frac{1}{100}}$ and $b=(101{)}^{\frac{1}{100}}$ then

• A. $a=b$
• B. $a>b$
• C. $a<b$
• D. None of these

Answer 1

The correct option is C $a<b$

We have,

$100<101$

$\Rightarrow (100{)}^{\frac{1}{100}}<(101{)}^{\frac{1}{100}}$

$\Rightarrow a<b$.