Question

Convert 5 square root of a into exponential form?

Answer 1

Answer:

The answer is:  " $5a^\frac{1}{2}$ "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " $5\sqrt{a}$ " .

_______________________________________________

Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

_____________________________________________

So;  to write:  " √a "  ;   as an exponent :

______________________________________________

Note:  

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

_______________________________________________

So:

" $\sqrt{a} = a^\frac{1}{2}$ "  ;

_______________________________________________

And:

________________________________________________

" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

________________________________________________

   →   The answer is:  " $5a^\frac{1}{2}$ " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________