Question

viết về 1 lũy thừa 

a) 4^10 . 8^15

b) 4^15. 5^30

c) 27^16.9^10

d) A = 72^3. 5^42 / 108^4

e) 3^10.11+3^10.5 / 3^9.2^4

 

Answer 1

\(a,4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)

\(b,4^{15}\cdot5^{30}=4^{15}\cdot5^{15}\cdot5^{15}=\left(4\cdot5\cdot5\right)^{15}=100^{15}\)

\(c,27^{16}\cdot9^{10}=3^{48}\cdot3^{20}=3^{68}\)

Answer 2

a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{20}.2^{45}=2^{20+45}=2^{65}\)

b) \(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=\left(2.5\right)^{30}=10^{30}\)

c) \(27^{16}.9^{10}=\left(3^3\right)^{16}.\left(3^2\right)^{10}=3^{48}.3^{20}=3^{48+20}=3^{68}\)