Question

Convert 5 square root of a into exponential form?

Answer 1

Answer:

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

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Step-by-step explanation:

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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" }.

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

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Note the following property of exponents:

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

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

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Note:  

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

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So:

" $\sqrt{a}  =  a^\frac{1}{2}$ "  ;

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And:

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" $5\sqrt{a}  =  5a^\frac{1}{2}$ " .

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

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Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

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