The quotient of two expressions is the division of the expressions
The quotient of [tex]\frac{7^{-1}}{7^{-2}}[/tex] is 7
The expression is given as:
[tex]\frac{7^{-1}}{7^{-2}}[/tex]
Rewrite the above expression by applying the law of indices
[tex]7^{-1 + 2[/tex]
Simplify the exponent
[tex]7^{1[/tex]
Evaluate the exponent 7 raise to the power of 1
7
Hence, the quotient of [tex]\frac{7^{-1}}{7^{-2}}[/tex] is 7
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