\(6.5^{22}=\left(5+1\right).5^{22}\)
\(=5.5^{22}+5^{22}.1\)
\(=5^{23}+5^{22}\Rightarrow5^{23}< 6.5^{22}\)
Câu b tương tự nha
\(5^{23}< 6.5^{22}\)
\(7.2^{13}>2^{16}\)
\(21^{15}< 27^5.49^8\)
Đề bài là so sánh phải ko bạn
a, 523=5.522
Vì 5.522<6.522
=>523<6.522
b, 216=23.213=8.213
Vì 7.213<8.213
=>7.213<216
c,2115=315.715
275.498=(33)5.(72)8=315.716
Vì 315.715<315.716
=>2115<275.498
Chúc bạn học giỏi nha!!!
So sánh phải hong zậy:
1)Ta có :\(^{5^{23}}\)=\(5^{22}.5\)
\(6.5^{22}\)
Vì:\(5^{22}.5< 6.5^{22}\)nên\(5^{23}< 6.5^{22}\)
2)Ta có:\(7.2^{13}\)
\(2^{16}=2^{13}.8\)
Vì:\(7.2^{13}< 2^{13}.8\)nên \(7.2^{13}< 2^{16}\)
3)Ta có:\(21^{15}=\left(3.7\right)^{15}=3^{15}.7^{15}< 3^{15}.7^{16}=\left(3^3\right)^5.\left(7^2\right)^8=27^5.49^8\)
\(27^5.49^8\)
Vậy \(21^{15}< 27^5.49^8\)(bé hơn vì \(3^{15}.7^{15}< 27^5.49^8\))
Chúc bn làm tốt hen
7.2^+3va2^16
ta co :
2^16=2^3.2^13=8.2^13
vi 7.2^13<8.2^13
=> 7.2^13<2^16
