Question

Answer 1

`a, 27/2 . 7,5 + 27/2 . 2,5 - 150`

`= 13,5 . (7,5 + 2,5) - 150`

`= 13,5 . 10  - 150`

`= 135 - 150`

`= -15`

`b, 3^3 . 18/5 - 3^3 . 2 2/5 - 3^3 . 6/5`

`= 27 . 18/5 - 27 . 12/5 - 27 . 6/5`

`= 27 . (18/5-12/5-6/5)`

`= 27 . 0`

`=0`

Answer 2

a: \(\dfrac{27}{2}\cdot7,5+\dfrac{27}{2}\cdot2,5-150\)

\(=\dfrac{27}{2}\cdot\left(7,5+2,5\right)-150\)

\(=\dfrac{27}{2}\cdot10-150=27\cdot5-150=135-150=-15\)

b: \(3^3\cdot\dfrac{18}{5}-3^3\cdot2\dfrac{2}{5}-3^3\cdot\dfrac{6}{5}\)

\(=3^3\left(\dfrac{18}{5}-2-\dfrac{2}{5}-\dfrac{6}{5}\right)\)

\(=27\cdot\left(\dfrac{10}{5}-2\right)=0\)