Question

1}^{2} { - 2}^{ - 2} " alt="10{ - 1}^{2} { - 2}^{ - 2} " align="absmiddle" class="latex-formula">

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ 10-1^2-2^{-2}\implies 10-1-\cfrac{1}{2^2}\implies 9-\cfrac{1}{4}\implies \cfrac{36-1}{4}\implies \cfrac{35}{4}$