The quotient of the expression is [tex]\dfrac{1}{5^9}[/tex].
The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.
The given expression is;
[tex]\dfrac{5^{-6}}{5^3}[/tex]
The quotient of the expression is;
[tex]=\dfrac{5^{-6}}{5^3}\\\\= \dfrac{1}{5^6 \times 5^3}\\\\=\dfrac{1}{5^{6+3}}\\\\=\dfrac{1}{5^9}[/tex]
Hence, the quotient of the expression is [tex]\dfrac{1}{5^9}[/tex].
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