a) Cách 1: \(\left(3^2\right)^3=3^{2.3}=3^6\)
\(\left(3^3\right)^2=3^{3.2}=3^6\)
\(\left(3^2\right)^5=3^{2.5}=3^{10}\)
\(9^8=\left(3^2\right)^8=3^{2.8}=3^{16}\)
\(27^6=\left(3^3\right)^6=3^{3.6}=3^{18}\)
\(81^{10}=\left(3^4\right)^{10}=3^{4.10}=3^{40}\)
Cách 2: \(\left(3^2\right)^3=9^3\)
\(\left(3^3\right)^2=3^{3.2}=\left(3^2\right)^3=9^3\)
\(\left(3^2\right)^5=9^5\)
\(9^8\)
\(27^6=\left(3^3\right)^6=3^{3.6}=3^{18}=3^{2.9}=\left(3^2\right)^9=9^9\)
\(81^{10}=\left(9^2\right)^{10}=9^{2.10}=9^{20}\)
Trả lời :
b)
Ta có : \(5^{28}=5^{2.14}=\left(5^2\right)^{14}=25^{14}< 26^{14}\)
\(\Rightarrow5^{28}< 26^{14}\)
a) C1 : (32)3 = 32.3 = 36 ;
C2 : (32)3 = 32.32.32 = 32 + 2 + 2 = 36
b) C1 : (33)2 = 33.2 = 36
C2 : (33)2 = 33.33 = 33 + 3 = 36
c) C1 (32)5 = 32.5 = 310
C2 (32)5 = 32.32.32.32.32 = 32 + 2 + 2 + 2 + 2 = 310
d) 98 = (32)8 = 32.8 = 316
98 = (3.3)8 = 38.38 = 316
e) 276 = (3.3.3)6 = 36.36.36 = 36 + 6 +6 = 318
276 = (33)6 = 33.6 = 318
g) 8110 = (3.3.3.3)10 = 310.310.310.310 = 310 + 10 + 10 + 10 = 340 ;
8110 = (34)10 = 34.10 = 340