Question

1) przedstaw iloraz w postaci potegi i oblicz.: a) 4 do -2 potegi podzielone 4 b) (jedna piata) do 2 potegi podzielone ( jedna piata) do -1 potegi c)( 1 i jedna druga) do -2 potegi podzielone ( 1,5) do -3 potegi d) ( 0,25) do -4 potegi podzielone ( jedna czwarta ) do -2 potegi PILNE NA JUTRO !!! daje naj....

Answer 1

1.

a) 4^(-2)/4 = 4^(-2-1) = 4^-3 = (1/4)^3=1/64

b)(1/5)^2/(1/5)^-1 = (1/5)^(2-(-1)) = (1/5)^3 = 1/125

c) (1 i 1/2)^-2/(1,5)^-3 = (1,5)^-2/(1,5)^-3=(1,5)^(-2-(-3)) = (1,5)^1 = 1,5

d) (0,25)^-4/(1/4)^-2 = (1/4)^-4/(1/4)^-2 = (1/4)^(-4-(-2)) = (1/4)^-2 = 4^2 = 16

Answer 2

a)   4^-2:4=4^-3=1/4³=1/64

 

b) (1/5)²:(1/5)^-1=(1/5)³=1/125

 

c) (1 i 1/2)^-2:(1,5)^-3=(1,5)^-2+3=1,5

 

d) (0,25)^-4:(1/4)^-2=(1/4)^-2=4²=16