[tex]\sf \frac{\sqrt{5x} }{ y \sqrt[8]{16 {y}^{7} } }[/tex]
Penjelasan dengan langkah-langkah:
[tex] \sf = {( \frac{8x \: 5 {y}^{ - 4} }{16 {y}^{ - \frac{1}{4} } } )}^{ \frac{1}{2} } [/tex]
[tex] \sf = \frac{ {x}^{ \frac{1}{2} } \: {5}^{ \frac{1}{2} } \: {y}^{ (- 4 \times \frac{1}{2}) } }{ {(16 \div 8)}^{ \frac{1}{2} } \: {y}^{ (- \frac{1}{4} \times \frac{1}{2} )} } [/tex]
[tex] \sf = \frac{ {x}^{ \frac{1}{2} } \: {5}^{ \frac{1}{2} } \: {y}^{ - 2 } }{ {2}^{ \frac{1}{2} } \: {y}^{- \frac{1}{8} } } [/tex]
[tex]\sf = \frac{ {5x}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{2} } \: {y}^{( - \frac{1}{8} + 2)} } [/tex]
[tex] \sf = \frac{\sqrt{5x} }{ {2}^{ \frac{1}{2} } \: {y}^{ \frac{15}{8}} } [/tex]
[tex]\sf = \frac{\sqrt{5x} }{ {2}^{ \frac{4}{8} } {y}^{ \frac{15}{8}} }[/tex]
[tex]\sf = \frac{\sqrt{5x} }{ \sqrt[8]{ {2}^{4} } \sqrt[8]{ {y}^{15} } }[/tex]
[tex]\sf = \frac{\sqrt{5x} }{ \sqrt[8]{ {2}^{4} {y}^{15} } }[/tex]
[tex]\sf = \frac{\sqrt{5x} }{ \sqrt[8]{16 {y}^{8} {y}^{7} } }[/tex]
[tex]\sf = \frac{\sqrt{5x} }{ y \sqrt[8]{16 {y}^{7} } }[/tex]