Question

Oblicz wartość wyrażenia:

(-2) do potęgi -2 + (-1/2) do potęgi -2 + 1/(-2) do potęgi -2 + (-1) do potęgi -2/2 =

| 4 do potęgi -1 - 2 x (2/3) do potęgi -3 | =

Answer 1

(-2)⁻² + (-1/2)⁻² + 1/(-2)⁻² + (-1)⁻²/2 = 

=(-1/2)² + (-2)² + 1/[1/2]² + 1/2=

=1/4 + 4 + 4 +1/2=

=1/4 + 4 + 2/4 + 4=

=8 3/4

-------------

|4⁻¹ - 2 * (2/3)⁻³| =

=|1/4 - 2 * (3/2)³|=

=|1/4 - 2 * 27/8|=

=|1/4 - 27/4|=

=|-26/4|=26/4=6 1/2

Answer 2

1.

(-2)^(-2) + (-1/2)^(-2) +(1/(-2))^-2 + [(-1)^(-2)]/2 = 1/4 +4 + 4 + 1/2 = 8 i 3/4

 

2.

| 4^(-1) - 2 * (2/3)^(-3) | = |1/4 - 2*27/8| = |1/4 - 27/4| = |- 26/4| = |- 13/2| = 13/2 = 6 i 1/2