Diketahui a=16 b=9
Tentukan nilai :
5a^(5/4) - 2b^(5/2) / a^(-3/4)
Tentukan nilai :
5a^(5/4) - 2b^(5/2) / a^(-3/4)
[tex] = \frac{5 {a}^{ \frac{5}{4} } - 2 {b}^{ \frac{5}{2} } } { {a}^{ \frac { - 3}{4} } } \\ = \frac{5 \times {16}^{ \frac{5}{4} } - 2 \times {9}^{ \frac{5}{2} } }{ {16}^{ \frac{ - 3}{4} } } \\ = \frac{5 \times {2}^{4 \times \frac{5}{4} } - 2 \times {3}^{2 \times \frac{5}{2} } }{ {2}^{4 \times \frac{ - 3}{4} } } \\ = \frac{5 \times {2}^{5} - 2 \times {3}^{5} }{ {2}^{ - 3} } \\ = ( \: 160 \: - \: 243 \: ) \times {2}^{3} \\ = - 83 \times 8 \\ = - 664[/tex]
Smoga membantu
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