Question

[Nguyễn Vũ Phương Thảo]

So sánh:

2\(^{30}\)+ 3\(^{20}\)+4\(^{30}\)và 3\(^{20}\)+6\(^{20}\)+8\(^{20}\)

Answer 1

[Mashiro Shiina]

\(VT=2^{30}+3^{20}+4^{30}\)

\(=\left(2^3\right)^{10}+\left(3^2\right)^{10}+\left(4^3\right)^{10}\)

\(=8^{10}+9^{10}+64^{10}\)

\(VP=3^{20}+6^{20}+8^{20}\)

\(=\left(3^2\right)^{10}+\left(6^2\right)^{10}+\left(2^3\right)^{20}\)

\(=9^{10}+36^{10}+8^{20}\)

\(=9^{10}+36^{10}+\left(8^2\right)^{10}\)

\(=9^{10}+36^{10}+64^{10}\)

\(\left\{{}\begin{matrix}9^{10}=9^{10}\\64^{10}=64^{10}\\36^{10}>9^{10}\end{matrix}\right.\)

\(\Rightarrow VT< VP\)