Question

Oblicz:

a) (-6)^-2 * (1/6)^-4
b) (2^-5 * 2^-3 / 2^-7)^-2
c) 3^-6 * (3^-2 :3)^-1 / 3^4 : (3^2 * 3^6)

legenda:
" ^ " - do potęgi
" / " - podzielić

z góry dzieki

Answer 1

a) (-6)^-2 * (1/6)^-4=

=1/36*1296=

=36

b) (2^-5 * 2^-3 / 2^-7)^-2=

= [(1/2)^-5*(1/2)^-3:(1/2)^-7]^-2 =

=[(1/2)^8:(1/2)^7 ]^-2 =

=(1/2)^-2 =

=2^2=

=4

c) 3^-6 * (3^-2 :3)^-1 / 3^4 : (3^2 * 3^6)=

=3⁻⁶(3⁻²:3)⁻¹/3⁴:(3²×3⁶)=

=3⁻⁶×(3⁻³)⁻¹/3⁴:3⁸=

=3⁻⁶×3³/3⁻⁴=

=3⁻³/3⁻⁴=

=3¹=

=3