The simplified fraction expression results into [tex]\frac{1}{9}[/tex].
What is fraction?
A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
A number that represents a rational number is called a common fraction. The three main sorts of fractions are as follows. Proper fractions, incorrect fractions, and mixed fractions are these three types.
Given,
Expression = [tex]\frac{3^{-6}}{3^{-4}}[/tex]
= [tex]3^{-6-(-4)}[/tex]
= [tex]3^{-6+4}[/tex]
= [tex]3^{-2}[/tex]
= [tex]\frac{1}{3^2}[/tex]
= [tex]\frac{1}{9}[/tex]
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