10{ - 1}^(2) { - 2}^( - 2)

Question

`10{ - 1}^(2) { - 2}^( - 2)`

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}`