Question

[nguyen hoai phuong]

So sánh 

a) (-2)^300 va (-3)^200

b) A= 2^19 .27^3 +15.4^9 .9^4

         6^9 .2^10 +12^10

 và  B= 4/ 35 + 4 /63 +4/99 +4/143+ 1/195

Answer 1

[Phạm Tuấn Đạt]

\(a,\left(-2\right)^{300}=2^{300}=\left(2^3\right)^{100}=8^{100}\)

\(\left(-3\right)^{200}=3^{200}=\left(3^2\right)^{100}=9^{100}\)

\(\Leftrightarrow\left(-3\right)^{200}>\left(-2\right)^{300}\)

\(b,A=2^{19}.27^3+15.4^9.9^4\)