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tekilochka [14]
3 years ago
6

Kentucky teens which one is the best completes the statement or answers the question

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

i’m not from kentucky but it’s A

lmk if you need me to explain

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stich3 [128]

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" ;

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

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<u>Note the following property of exponents</u>:

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

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So;  to write:  " √a "  ;  <u> </u><em><u>as an exponent</u></em><u> </u> :

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<u>Note</u>:  

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

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<u>So</u>:

" \sqrt{a}  =  a^\frac{1}{2} "  ;

_______________________________________________

<u>And</u>:

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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

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