Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.
The given indices expression can be solved as shown below.,
[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]
= √(9a⁴)
=√(3a²)²
= 3a²
Hence, the value of the given indices expression will be 3a².
Learn more about Expression here:
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