Rozwiązane

1.Przedstaw jak najprościej:
a)
3⁶*5⁻¹*2⁻⁴*2⁶
---------------- =
6⁻²
b)
12²*11³*13⁴
----------------- =
12⁴*11²*13³
c)
2⁻³*3⁻⁴*5⁻⁴
--------------- =
2⁻²*3²*5₅

Odpowiedź :

a)
[3⁶*5⁻¹*2⁻⁴*2⁶]:6⁻² =[729*1/5*1/16*64]:1/36 = 583,2*36=20995,2

b)
[12²*11³*13⁴]/[12⁴*11²*13³] = [144*1331*28561]/[20736*121*2197] =
5474115504/5512396032 = 0,9930(5)
c)
[2⁻³*3⁻⁴*5⁻⁴]/[2⁻²*3²*5⁵] = [1/8*1/81*1/625]/[1/4*9*25] = [1/405000]:[225/4] =[1/405000]*[4/225] = 4/91125000=1/22781250