Question

Oblicz wartość bezwzględną różnicy wartości wyrażeń a i b, jeżeli:

a=(3/4) do potęgi -2 : -3do potęgi -2, b=-(1i 1/3)do potęgi -2 * (0,75)do potęgi -2.

Answer 1

a = (3/4)^(-2) : (-3)^(-2) = (4/3)^2 : [ 1/(-3)^2] = (16/9) : [ 1/9] =

= (16/9)*9 = 16

a = 16

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b = ( 1  1/3)^(-2) *(0,75)^(-2) = (4/3)^(-2) * (3/4)^(-2) =

= (3/4)^2 * (4/3)^2 = [ (3/4)*(4/3)]^2 = 1 62 = 1

b = 1

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I a - b I = I  16 - 1 I = I 15 I = 15

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