Question

Ordonați crescător puterile:
A)16•5^9 ; 2^4•25^8 ; 4^2•(5^2)^4 ; 8•2•5^5^2 ; 16•125^9.
B)2^4^3 ; [(2^101)^102]^0 ; (2^40)^2 ; 28^35:7^35 ; 16^10•8^8•4^6.

Answer 1

A)
16•5^9=2^4•5^9
2^4•25^8=2^4•5^18
4^2•(5^2)^4=2^4•5^8
8•2•5^5^2=2^3•2•5^5^2=2^4•5^25
16•125^9=2^4•(5^3)^9=2^4•5^27
in ordine crescatoare  
2^4•5^8 
2^4•5^9
2^4•5^18
2^4•5^25
2^4•5^27

B)
2^4^3 =2^64
[(2^101)^102]^0 =1
(2^40)^2 =2^80
28^35:7^35 =4^35•7^35:7^35 =4^35=2^70
16^10•8^8•4^6= 2^40•2^24•2^12=2^77

in ordine crescatoare   
1
2^64
2^70
2^77
2^80