Question

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please please help!!

I have been waiting for almost an hour with no help!

Please only answer if you absolutely know the answer!!!

Please explain your answer and ensure that it is correct!!

Thank you so so much!

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] \rule{34em}{0.25pt}`

`\bf \left( √(5) \right)\left( \sqrt[3]{5} \right)\implies \left( \sqrt[2]{5^1} \right)\left( \sqrt[3]{5^1} \right)\implies 5^{(1)/(2)}\cdot 5^{(1)/(3)}\implies 5^{(1)/(2)+(1)/(3)}\qquad \impliedby \stackrel{LCD}{6} \\\\\\ 5^{((3)1+(2)1)/(6)}\implies 5^{(5)/(6)}`