The value of a will be equal to [tex]\dfrac{1}{4}[/tex] for the given expression.
The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.
here we have two expressions.
[tex]a^4=3\ \ \ \ a^6=\dfrac{3}{16}[/tex]
We can write the expression as:
[tex]a^6=\dfrac{3}{16}\\\\\\a^4\times a^2=\dfrac{3}{16}\\\\\\3\times a^2=\dfrac{3}{16}\\\\\\a=\sqrt{\dfrac{1}{16}}\\\\\\a=\dfrac{1}{4}[/tex]
Hence the value of a will be equal to [tex]\dfrac{1}{4}[/tex] for the given expression.
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