Question

[vu dieu linh]

Cm đẳng thức

12^8 . 12^16 = 4^16 . 3^40

75^20= 45^10 . 5^30

Answer 1

[kl1977vn]

a đề sai

b) 75^20 = ( 5*5*3)^20= 5^40 * 3^20 = 5^30 * ( 5^10 * 9^10)= 5^30 * 45^10.

Answer 2

[Pham Van Hung]

\(12^8.12^{16}=12^{24}=\left(2^2.3\right)^{24}=2^{48}.3^{24}=2^{32}.2^{16}.3^{24}\)

\(4^{16}.3^{40}=\left(2^2\right)^{16}.3^{40}=2^{32}.3^{40}=2^{32}.3^{24}.3^{16}\)

\(12^8.12^{16}\ne4^{16}.3^{40}\)

\(75^{20}=\left(3.5^2\right)^{20}=3^{20}.5^{40}\)

\(45^{10}.5^{30}=\left(3^2.5\right)^{10}.5^{30}=3^{20}.5^{40}\)

\(75^{20}=45^{10}.5^{30}\)