Question

So sánh:

( -5 )^30 và ( -3 )^50

Answer 1

\(\left(-5\right)^{30}=5^{30}=5^{3.10}=\left(5^3\right)^{10}=125^{10}\)

\(\left(-3\right)^{50}=3^{50}=3^{5.10}=\left(3^5\right)^{10}=243^{10}\)

do   \(125^{10}< 243^{10}\)

nên   \(\left(-5\right)^{30}< \left(-3\right)^{50}\)

Answer 2

\(\left(-5\right)^{30}=\left[\left(-5\right)^3\right]^{10}=125^{10}\)

\(\left(-3\right)^{50}=\left[\left(-3\right)^5\right]^{10}=243^{10}\)

mà \(125^{10}< 243^{10}=>\left(-5\right)^{30}< \left(-3\right)^{50}\)