Question

(2 3/4) to the second power

Answer 1

`\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( 2^{(3)/(4)} \right)^2\implies 2^{(3)/(4)\cdot 2}\implies 2^{(3)/(2)}\implies \sqrt[2]{2^3}\implies \sqrt{2^(2+1)}\implies √(2^2\cdot 2)\implies 2√(2)`