The expression will be written as
., the correct option is A.
<h3>What are Exponents?</h3>
Exponents are the base raised to a power, It is written in the superscript of a number.
The expression given in the statement can be written as
![\rm \dfrac{ 2^{7/8}}{2^{1/4}}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B%202%5E%7B7%2F8%7D%7D%7B2%5E%7B1%2F4%7D%7D)
By the Exponent rule,
![\rm \dfrac{a^m}{a^n} = a^{m-n}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3D%20a%5E%7Bm-n%7D)
So the expression can be written as
<h3>
=![\rm { 2^{7/8-1/4}](https://tex.z-dn.net/?f=%5Crm%20%7B%202%5E%7B7%2F8-1%2F4%7D)
</h3>
=![\rm 2^{5/8}](https://tex.z-dn.net/?f=%5Crm%202%5E%7B5%2F8%7D)
=![\rm \sqrt[8]{2^5}](https://tex.z-dn.net/?f=%5Crm%20%5Csqrt%5B8%5D%7B2%5E5%7D)
Therefore, in radical form, the expression will be written as
., the correct option is A.
The complete question is
Rewrite the rational exponent as a radical by extending the properties of integer exponents.
2 to the 7 over 8 power, all over 2 to the 1 over 4 power
the eighth root of 2 to the fifth power
the fifth root of 2 to the eighth power
the square root of 2 to the 5 over 8 power
the fourth root of 2 to the sixth power
To know more about Exponents
brainly.com/question/5497425
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