12 mũ 5 nhân 9 mũ 6 phần 27 mũ 5 nhân 2 mũ 12

D.

D

Ta có:\(8^{12}=\left(2^3\right)^{12}=2^{3.12}=2^{36}\\ \\ \\ 32^6=\left(2^5\right)^6=2^{5.6}=2^{30}\) Mà \(2^{36}>2^{30}\)

⇒ Chọn A

8¹² = (2³)¹² = 2³⁶

32⁶ = (2⁵)⁶ = 2³⁰

Vì 2³⁶ > 3³⁰ ⇒ 8¹² > 32⁶ ⇒ Chọn A

mình chịu

chịu thì vào đây chat lm j

(6²⁰⁰⁷ - 6²⁰⁰⁶) - 6²⁰⁰⁶

= 6²⁰⁰⁷ - (6²⁰⁰⁶ - 6²⁰⁰⁶)

= 6²⁰⁰⁷

a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)

 1/2 x 2 mũ n cộng 4 x 2 mũ n = 9 x 2 mũ n

b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)

\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)

\(=2^5\cdot\dfrac{5}{2}\)

\(=\dfrac{2^5\cdot5}{2}\)

\(=2^4\cdot5\)

\(=80\)

c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)

\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)

\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)

\(=\dfrac{3^2}{1}\)

\(=9\)

c) 2^15.9^466.83=2^15.3^8/2^6.3^6.2^9=3^2/1=9

dấu này / là phần  nha