Simplify {(-3/4)3-(-5/2)3} × 42 and express a rational number.

1.	Simplify {(-3/4)3-(-5/2)3} × 42 and express a rational number.
Answer» {(-3/4)³-(-5/2)³} × 4² We have, = {(-3³/4³)-(5³/2³)} × 16 = {(-27/64)-(-125/8)} × 16 First we find the difference of {(-27/64)-(125/8)} LCM of 64 and 8 is 64 = (-27×1) / (64×1) = (-27/64) = (125×8) / (8 ×8) = (1000/64) = (1000- (-27))/64 = (1000+27)/64 = (973/64) = (973/64) × 16 = (973/4)

Answer»

{(-3/4)³-(-5/2)³} × 4²

We have,

= {(-3³/4³)-(5³/2³)} × 16

= {(-27/64)-(-125/8)} × 16

First we find the difference of {(-27/64)-(125/8)}

LCM of 64 and 8 is 64

= (-27×1) / (64×1) = (-27/64)

= (125×8) / (8 ×8) = (1000/64)

= (1000- (-27))/64

= (1000+27)/64

= (973/64)

= (973/64) × 16

= (973/4)

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