a) 1/5 - (1/2 + 3/4 ) : 5/2

= 1/5 - ( 1/4 + 3/4 ) : 5/2

=1/5 - 1 : 5/2

= 1/5 - 1 . 2/5

= 1/5 - 2/5

= -1/5

b) 1,5 . (1/3 - 2/3)

=3/2 . ( -1/3)

=-1/2

c) 9/10 . 23/11 - 1/11 . 9/10 + 9/10

= 9/10 . ( 23/11 - 1/11 ) + 9/10

= 9/10 . 1 + 9/10

= 9/10 + 9/10

= 18/10 = 9/5

\(\frac{2^{11}\cdot9^2}{3^5\cdot16^2}\)

\(=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}\)

\(=\frac{2^3}{3}\)

\(=\frac{8}{3}\)

\(\frac{2^{11}\cdot9^2}{3^5\cdot16^2}=\frac{2^{11}\cdot\left(3^2\right)^2}{3^5\cdot\left(2^4\right)^2}=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}=\frac{2^3}{3}=\frac{8}{3}\)

\(\dfrac{2^{11}.9^2}{3^5.16^2}\)

= \(\dfrac{2^{11}.3^4}{3^5.2^8}\)

= \(\dfrac{2^3}{3}\)= \(\dfrac{8}{3}\)= 2, (6)

a) \(k=\frac{2^{11}.9^2}{3^5.16^2}=\frac{2^{11}.\left(3^2\right)^2}{3^5.\left(2^4\right)^2}=\frac{2^{11}.3^4}{3^5.2^8}=\frac{8.1}{3.1}=\frac{8}{3}\)

b)  \(N=\frac{9^3.27^2}{6^2.3^{10}}=\frac{\left(3^2\right)^3.\left(3^3\right)^2}{\left(2.3\right)^2.3^{10}}=\frac{3^6.3^6}{2^2.3^2.3^{10}}=\frac{3^{12}}{4.3^{12}}=\frac{1}{4}\)

* Trả lời:

\(\left(-2\right)^5.16\)

\(\Rightarrow\left(-2\right)^5.2^4\)

\(\Rightarrow\left(-1\right)^5.2^5.2^4\)

\(\Rightarrow-1.\left(2^5.2^4\right)\)

\(\Rightarrow\left(-2\right)^9\)

Vậy \(\left(-2\right)^5.16=\left(-2\right)^9\)

(-2)⁵.16

⇒(-2)⁵.2⁴

⇒(-1)⁵.2⁵.2⁴

⇒-1.(2⁵.2⁴)

⇒(-2)⁹

Vậy (-2)⁵.16=(-2)⁹

(Chúc bạn học tốt)

Co cau khac ko de lan thit nguoi rat ngon 🤔

Soa ko ai tra loi cau hoi nay vay 

a) \(K=\frac{2^{11}\cdot9^2}{3^5\cdot16^2}=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}=\frac{2^3}{3}=\frac{8}{3}\)

b) \(N=\frac{9^3\cdot27^2}{6^2\cdot3^{10}}=\frac{3^6\cdot3^6}{2^2\cdot3^2\cdot3^{10}}=\frac{1}{4}\)

c) \(P=\frac{27^{15}\cdot5^3\cdot8^4}{25^2\cdot81^{11}\cdot2^{11}}=\frac{3^{45}\cdot5^3\cdot2^{12}}{5^4\cdot3^{44}\cdot2^{11}}=\frac{3\cdot2}{5}=\frac{6}{5}\)