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(1)/(5)\qquad \begin{cases} 1024=2^(10)\\ (1)/(5)=5^(-1) \end{cases}\implies 2^(10)5^(-1)`