7 {}^( - 1 ) / 7 {}^(2) ​

Question

`7 {}^( - 1 ) / 7 {}^(2)`
​

Answer 1

1/343

Explanation:

`(7^(-1))/(7^2)=7^(-1-2)=7^(-3)=(1)/(7^3)=\boxed{(1)/(343)}`

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The applicable rules of exponents are ...

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b