The simplified form of the given function ⎷81x^14 would be 9x raised to the power 7.
If we have a^b then 'a' is called the base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex](a^b)^c = a^{b \times c}\\\\ a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
The given function is
[tex]\sqrt{81x^{14}} \\\\\sqrt{(9x^7)^2} \\\\9x^7[/tex]
The simplified form of the given function ⎷81x^14 would be 9x raised to the power 7.
Learn more about exponentiation here:
https://brainly.com/question/26938318
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