Penjelasan dengan langkah-langkah:
[tex] { ({8}^{ \frac{3}{4} } )}^{ \frac{8}{9} }( \sqrt{ {2}^{13} } + \sqrt[3]{ - {4}^{6} }) \\ = { ({( {2}^{3}) }^{ \frac{3}{4} }) }^{ \frac{8}{9} }( {2}^{ \frac{13}{2} } + {( - 4)}^{ \frac{6}{3} } ) \\ = {2}^{3 \times \frac{3}{4} \times \frac{8}{9} } ( {2}^{ \frac{13}{2} } + ( - {4})^{2}) \\ = {2}^{2} ( {2}^{ \frac{13}{2} } + 16) \\ = {2}^{2}( {2}^{ \frac{13}{2} } + {2}^{4} ) \\ = {2}^{ \frac{13}{2} + 2 } + {2}^{4 + 2} \\ = {2}^{ \frac{17}{2} } + {2}^{6} \\ = \sqrt{ {2}^{17} } + 64 \\ = \sqrt{ {2}^{16} \times 2 } + 64 \\ = {2}^{8} \sqrt{2} + 64 \\ = 256 \sqrt{2} + 64 \\ = 64(4 \sqrt{2} + 1) [/tex]