Question

$( \frac{ - 3 {}^{3} }{4}) - ( \frac{ - 5 {}^{3} }{2} ) \times ( \frac{ - 2 {}^{4} }{3})$
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Answer 1

Answer:

$\frac{3919}{12}$

Step-by-step explanation:

$(\frac{-3^{3}}{4} ) - (\frac{-5^{3}}{2} ) \times (\frac{-2^{4}}{3} ) \\\\= (\frac{-27}{4} ) - (\frac{-125}{2} ) \times (\frac{16}{3} ) \\\\= (\frac{-27}{4} ) - (\frac{-125}{1} ) \times (\frac{8}{3} )\\\\= (\frac{-27}{4} ) - (\frac{-1000}{3} )$

now taking LCM 12

$= \frac{1}{12} \times (-27\times3 + 1000\times4 )\\\\= \frac{1}{12}\times(-81 + 4000)\\\\= \frac{1}{12} \times (3919 )\\\\=\frac{3919}{12}$