Question

What is 1024 1/5 simplified?

Answer 1

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ 1024\frac{1}{5}\qquad \begin{cases} 1024=2^{10}\\ \frac{1}{5}=5^{-1} \end{cases}\implies 2^{10}5^{-1}$