Question

compara 5 la puterea 2015 cu 2 la puterea 4705

Answer 1

5^2015=(5^403)^5=(5×5^402)^5=[5×(5^3)^134]^5=(5×125^134)^5=5^5×(125^134)^5=5^5×125^670

2^4705=(2^941)^5=(2^3×2^938)^5=[8×(2^7)^134]^5=(8×128^134)^5=8^5×(128^134)^5=8^5×128^670

5^5 <8^5 și 125^670 <128^670 => 5^2015 <2^4075