Question

[nameless]

Viết biểu thức sau dưới dạng 1 lũy thừa:
a) 12⁸.9¹²
b) 45¹⁰.5³⁰

Answer 1

[tam mai]

a) 3^8.4^8.3^24=3^32.2^16

b) 5^10.3^20.5^30=5^40.3^20

Answer 2

[nguyễn tuấn thảo]

\(a)12^8\cdot9^{12}\)

\(=\left(2^2\cdot3\right)^8\cdot\left(3^2\right)^{12}\)

\(=\left(2^2\right)^8\cdot3^8\cdot3^{24}\)

\(=2^{16}\cdot3^{32}\)

\(=2^{16}\cdot\left(3^2\right)^{16}\)

\(=2^{16}\cdot9^{16}\)

\(=\left(2\cdot9\right)^{16}\)

\(=18^{16}\)