Răspuns :

Răspuns:

buna dimineata, si de baut ce vrei, pardon 'ai nevoie'???/Suc sau apa minerala???

va rog??va multumesc?/de astea nu ai nevoie??

5

Explicație pas cu pas:

[(5²)^(-2)*(5³)^2 :(5^(-3))]^(-1) *5^6

[5^(-4+6+3)]^(-1)^5^6

(5^(5))^(-1) *5^6

5^(-5+6)

5^1=5

Răspuns: 5

[tex]\it \Big(25^{-2}\cdot 125^{2} : 5^{-3} \Big)^{-1}\cdot 25^{3}=\\\\\it \Big( (5^{2})^{-2}\cdot (5^{3}) ^{2} : 5^{-3} \Big)^{-1}\cdot (5^{2})^{3} =\\\\\it \Big( 5^{2\cdot (-2)}\cdot 5^{3\cdot2}:5^{-3}\Big)^{-1}\cdot5^{2\cdot3}=\\\\\it \Big( 5^{-4} \cdot 5^{6}:5^{-3} \Big)^{-1} \cdot 5^{6} =\\\\\it \Big( 5^{-4+6-(-3)}\Big)^{-1}\cdot 5^{6}=\\\\\it \Big( 5^{-4+6+3}\Big)^{-1} \cdot 5^{6}=\\\\\it \Big( 5^{5}\Big)^{-1}\cdot 5^{6}=\\\\\it 5^{-5} \cdot 5^{6}=\\\\\it 5^{-5+6}=\\\\\it 5^{1}=\\\\\boxed{\it 5}[/tex]