Thhe simplified form of the expression is 9
Indices are expressed as power or exponent which is raised to a number or a variable.
According to the law of indices
[tex]a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}[/tex]
Given the expression
[tex]3^{-6} \times (\dfrac{3^4}{3^0} )^2[/tex]
This can also be expressed as:
[tex]=\dfrac{1}{3^6} \times (\frac{3^4}{1})^2 \ (3^0 =1)\\= \dfrac{1}{3^6} \times 3^8\\=\dfrac{3^8}{3^6}\\=3^{8-6}\\=3^2\\=9\\[/tex]
This shows that the simplified form of the expression is 9
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