squrt10(10)^4 to fraction exponent

The square root of 10 is the same as 10^^1/2

 

So the problem would be rewritten as:

 

10^^1/2 * 10^⁴

 

When you multiply exponents with the same base, you add their powers together:

 

= 10^^{1/2 + 4}

 

= 10^^9/2