Question

Calculați: d)[[(27/25-1/2•21/25)]•25/3-1]•3013-10 la puterea a 3

Answer 1

[[(27/25-1/2•21/25)]•25/3-1]•3013-10^3 = 
[[(27/25 - 21/50)] x 25/3 - 1] x 3013 - 1000=
[[(54-21)/50 x 25/3  - 1] x 3013 - 1000 = 
[33/50 x 25/3  - 1] x 3013 - 1000 = 
[11/2 - 1 ] x 3013 - 1000 = 
4,5 x 3013 - 1000 =
13558,5 - 1000 =
12558,5 

Answer 2

[tex]\it \left[\left(\dfrac{27}{25}-\dfrac{1}{2}\cdot\dfrac{21}{25}\right)\cdot\dfrac{25}{3}-1\right]\cdot3013-10^3= \\ \\ \\ = \left(\dfrac{54-21}{2\cdot25} \cdot\dfrac{25}{3} -1\right) \cdot3013-1000 = \\ \\ \\ =\left(\dfrac{33}{2\cdot3} -1 \right)\cdot3013-1000 = \left(\dfrac{11}{2} -1 \right)\cdot3013-1000 = [/tex]

$\it = \dfrac{9}{2} \cdot3013-1000 = \dfrac{27117}{2}-1000=\dfrac{25117}{2}=12558,5$