Question

[Bí Mật]

Tìm giá trị 

a) 45¹⁰ . 5²⁰   

        75¹⁵

b) 2¹⁵ . 9⁴

    6⁶ . 8³

Chứng minh

a) 12⁸ . 9^{12 =}18¹⁶

B) 75²⁰ = 45¹⁰ . 5³⁰

Nhớ giải rõ giùm mình

Answer 1

[Nguyễn Ngọc Anh Minh]

a/ \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2\right)^{10}.5^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5.\)

b/ \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{2^6.3^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2\)

Chứng minh:

a/ \(12^8.9^{12}=\left(2^2\right)^8.3^8.9^{12}=2^{16}.\left(3^2\right)^4.9^{12}=2^{16}.9^4.9^{12}=2^{16}.9^{16}=\left(2.9\right)^{16}=18^{16}\)

b/ \(75^{20}=\left(3.25\right)^{20}=3^{20}.\left(5^2\right)^{20}=3^{20}.5^{40}=\left(3^2\right)^{10}.5^{10}.5^{30}=\left(9.5\right)^{10}.5^{30}=45^{10}.5^{30}\)

Answer 2

[Bí Mật]

Cảm ơn Anh Minh nhìu mk sẽ k cho bạn đầu tiên thanks