Respuesta :

(7^-1/7^-2) = 7^(-1 + 2) = 7^1 = 7

hope it helps

Answer:

7^1 = 7

Step-by-step explanation:

we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]

The exponents are in division

When the base of exponents are same and  exponents are in division then we subtract the exponents

We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]

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