Question

Qual é o recíproco do resultado de $(\sqrt{3} + \sqrt{2}) ^{2014} . (\sqrt{3} + \sqrt{2})^- ^{2013}.(\sqrt{3} - \sqrt{2})$ ?

Answer 1

$a^{x}*a^{y} = a^{(x+y)}$
$(a + b)*(a - b)=a^{2}-b^{2}$
$\sqrt[n]{a^{n}}=a$
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$(\sqrt{3}+\sqrt{2})^{2014}*(\sqrt{3}+\sqrt{2})^{-2013}*(\sqrt{3}-\sqrt{2})$
$(\sqrt{3}+\sqrt{2})^{(2014-2013)}*(\sqrt{3}-\sqrt{2})$
$(\sqrt{3}+\sqrt{2})^{1}*(\sqrt{3}-\sqrt{2})$
$(\sqrt{3}+\sqrt{2})*(\sqrt{3}-\sqrt{2})$
$(\sqrt{3})^{2}-(\sqrt{2})^{2}$
$3 - 2$
$1$