Question

Simplify: (2^2 + 3^4)−^2

Answer 1

(2^2 + 3^4)^-2

2^2 =4

3^4 = 81

2^2 + 3^4 = 4+81 = 85

85^-2

1/85^2

1/7225

Answer 2

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (2^2+3^4)^{-2}\implies (4+81)^{-2}\implies 85^{-2}\implies \cfrac{1}{85^2}\implies \cfrac{1}{7225}$