\(4^{18}.8^{15}=\left(2^2\right)^{18}.\left(2^3\right)^{15}\)
\(=2^{36}.2^{45}\)
\(=2^{81}\)
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=\left(2.5\right)^{30}\)
\(=10^{30}\)
\(\frac{3.72^2.54^2}{108^4}=\frac{3.\left(3^2.2^3\right)^2.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}\)
\(=\frac{3.3^4.2^6.3^6.2^2}{3^{12}.2^8}\)
\(=\frac{3^{11}.2^8}{3^{12}.2^8}\)
\(=\frac{1}{3}\)
1) \(4^{18}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{20}.2^{45}=2^{65}\)
2) \(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
3) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{\left(2^3\right)^3.\left(3^2\right)^3.2^2.\left(3^3\right)^2}{\left(2^2\right)^4.\left(3^3\right)^4}\)
\(=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
1, \(4^{18}.8^{15}\)
\(=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
3, (9.8)^3.(9.6)^2/ (9.12)^4
= 9^3.(2^3)^3.9^2.6^2/ 9^4.12^4
= 9^5.2^9.2^2.3^2/ 9^4.(3.2^2)^4
=9^5.2^11.3^2/ 9^4.3^4.2^8
=3^2.2^3/ 3^2
=2^3=8
hoàng lan sai rồi thử lấy máy tính tính lại xem nhá
2, \(4^{15}.5^{30}\)
\(=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=10^{30}\)
a. 418 . 815
= (22)18 . (23)15
= 236 . 245
= 281
b. 415 . 530
= (22)15 . 530
= 230 . 530
= 1030
c. 723 . \(\frac{54^2}{108^4}\)
= (23 . 32)3 . \(\frac{\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}\)
= 29. 36. \(\frac{1}{2^6.3^6}\)
= 23
\(1;4^{18}\cdot8^{15}\)
\(=\left(2^2\right)^{18}\cdot\left(2^3\right)^{15}\)
\(=2^{36}\cdot2^{45}\)
\(=2^{81}\)
\(2;4^{15}\cdot5^{30}\)
\(=\left(2^2\right)^{15}\cdot5^{30}\)
\(=2^{30}\cdot5^{30}\)
\(=10^{30}\)
\(2,4^{15}.5^{30}\)
\(=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=10^{30}\)
A)418.815=(22)18.(23)15=236.245=281
B)415.530=415.(52)15=(4+52)15=2915
C)723.542/1084=(32.23)3.(33.2)2/(33.22)4=36.29.36.22/312.28=39+6-12.29+2-8=33.23=(3.2)3=63
