a) \(\frac{72^3.54^2}{108^4}\)

\(=\frac{\left(2^3.3^2\right)^3.\left(2.3^2\right)^2}{\left(2^2.3^2\right)^4}\)

\(=\frac{2^9.3^6.2^2.6^6}{2^8.3^{12}}=2^3\)

\(=8\)

b) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)

\(=\frac{3^{10}.\left(11+5\right)}{3^9.2^4}\)

\(=\frac{3^{10}.2^4}{3^9.2^4}\)

\(=3\)

8 nhé k nha

. 72^3 * 54^2 / 108^4 
= 72^3 * 54^2 / (2 * 54)^4 
= 72^3 * 54^2 / 2^4 * 54^4 
= 72^3 * 54^2 / 2^4 * 54^2 * 54^2 
= 72^3 / 2^4 * 54^2 
= 72^3 / (2^2)^2 * 54^2 
= (9 * 8)^3 / 4^2 * (9 * 6)^2 
= 9^3 * 8^3 / 4^2 * 9^2 * 6^2 
= 9 * 9^2 * (4 * 2)^3 / 4^2 * 9^2 * 6^2 
= 9 * 4^3 * 2^3 / 4^2 * 6^2 
= 9 * 4 * 4^2 * 8 / 4^2 * 36 
= 9 * 4 * 8 / 36 
= 36 * 8 / 36 
= 8 

\(72^2\cdot54^2:108^4=1088391168:108^4=8\)

k mình

k lại

A = 72³ . 54² : 108⁴

A = 2⁹ . 3⁶ . 2² . 3⁶ : 2⁸ . 3¹²

A = 2¹¹ . 3¹² : 2⁸ . 3¹²

A = 2³

A = 8

72^3*54^2=1088391168

108^4=136048896

\(\frac{72^3.54^2}{108^4}=\frac{8^3.9^3.6^2.9^2}{3.6^2}=\frac{8^3.9^5}{3}=\frac{8^3.3^{10}}{3}=8^3.3^9=8^3.27^3=216^3\)

nhầm rồi despacito

1. 2^36.2^45=2^81

2. 2^30.5^30=10^30

\(4^{18}.8^{15}=\left(2^2\right)^{18}.\left(2^3\right)^{15}\)

\(=2^{36}.2^{45}\)

\(=2^{81}\)

\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}\)

\(=2^{30}.5^{30}\)

\(=\left(2.5\right)^{30}\)

\(=10^{30}\)

\(\frac{3.72^2.54^2}{108^4}=\frac{3.\left(3^2.2^3\right)^2.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}\)

\(=\frac{3.3^4.2^6.3^6.2^2}{3^{12}.2^8}\)

\(=\frac{3^{11}.2^8}{3^{12}.2^8}\)

\(=\frac{1}{3}\)

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) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{\left(2^3\right)^3.\left(3^2\right)^3.2^2.\left(3^3\right)^2}{\left(2^2\right)^4.\left(3^3\right)^4}\)

\(=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)