Tolong yaa jawab yg bagian D,E,F Besok di kumpul

D.
[tex]( \frac{1}{4} )^{ - \frac{3}{2} } + {16}^{ \frac{5}{4} } + ( \frac{1}{8}) ^{ - \frac{1}{3} } [/tex]
[tex] = {4}^{ \frac{3}{2} } + ( {4}^{2})^{ \frac{5}{4} } + {8}^{ \frac{1}{3} } [/tex]
[tex] = ( {2}^{2} )^{ \frac{3}{2} } + ( {2}^{2} )^{ \frac{13}{4} } + ({2}^{3} ) ^{ \frac{1}{3} } [/tex]
[tex] = {2}^{ \frac{7}{2} } + {2}^{ \frac{21}{4} } + {2}^{ \frac{10}{3} } [/tex]
Sesuai dengan persamaan rumus

[tex] {a}^{n} + {a}^{m} = {a}^{n} (1 + {a}^{m - n} )[/tex]
Maka:
[tex] = {2}^{ \frac{7}{2} } + {2}^{ \frac{21}{4} } + {2}^{ \frac{10}{3} } [/tex]
[tex] = {2}^{ \frac{2}{7} } (1 + {2}^{ \frac{7}{2} - \frac{21}{4} - \frac{10}{3} } )[/tex]
[tex] = {2}^{ \frac{2}{7} } (1 + {2}^{ - 21} )[/tex]