Question

So sánh

625^5 và 125^7

Answer 1

Ta có:

\(625^5=\left(5^4\right)^5=5^{20}\)

\(125^7=\left(5^3\right)^7=5^{21}\)

Vì \(5^{20}< 5^{21}\)

Vậy \(625^5< 125^7\)

Answer 2

625⁵ = 5²⁰ ; 125⁷ = 5²¹

625⁵ < 125⁷

Answer 3

\(\left(5^4\right)^5\)\(và\)\(\left(5^3\right)^7\)

\(5^{20}\)\(>5^{35}\)

\(\Rightarrow625^5>125^7\)

Answer 4

ta có :

\(625^5=\left(5^4\right)^5=5^{4.5}=5^{20}\)

\(125^7=\left(5^3\right)^7=5^{3.7}=5^{21}\)

Vì \(5^{20}< 5^{21}\)nên \(625^5< 125^7\)

Answer 5

\(625^5< 125^7 \)

OK