Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]
Step-by-step explanation:
[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]
[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
