Question

}^{ - 1 } \div 7 {}^{2} " alt="7 {}^{ - 1 } \div 7 {}^{2} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

  1/343

Step-by-step explanation:

  $\dfrac{7^{-1}}{7^2}=7^{-1-2}=7^{-3}=\dfrac{1}{7^3}=\boxed{\dfrac{1}{343}}$

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The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b