\(\left(5.4^{11}-3.16^5\right):4^{10}=\left(5.4^{11}-3.4^{10}\right):4^{10}\)

\(=5.4^{11}:4^{10}-3.4^{10}:4^{10}\)

\(=\frac{5.4^{11}}{4^{10}}-\frac{3.4^{10}}{4^{10}}=5.4-3=20-3\)

\(=17\)

(5.4¹¹ - 3.16⁵) : 4¹⁰

= 5.4¹¹:4¹⁰ - 3.16⁵:4¹⁰

= 5 .(4¹¹:4¹⁰) - 3. (4²)⁵ : 4¹⁰

= 5. 4 - 3. (4¹⁰ : 4¹⁰)

= 20 - 3.1

= 20 - 3

= 17

Chúc bn học tốt!!!

=( 5 . 4 ^11 - 3. 4^2.5 ) : 4^10

= ( 5 . 4^11 - 3 . 4^10 ) : 4^10

= 4^10 ( 5.4 - 3 ) : 4^10 

= 5.4 - 3

= 17 
ĐÚng cho mình nha

5.4¹¹-3.4.4⁵):4¹⁰

=( 5 . 4 ^11 - 3. 4^2.5 ) : 4^10

= ( 5 . 4^11 - 3 . 4^10 ) : 4^10

= 4^10 ( 5.4 - 3 ) : 4^10 

= 5.4 - 3

= 17 
ĐÚng cho mình nha

(5*4¹¹-3*16⁵):4¹⁰

=[5*(2²)¹¹-3*(2⁴)⁵)]:(2²)¹⁰

=[5*2²²-3*2²⁰]:2²⁰

=[5*2²*2²⁰-3*2²⁰]:2²⁰

=[20*2²⁰-3*2²⁰]:2²⁰

=2²⁰[20-3]:2²⁰

=17

(5.4¹¹-3.16⁵) : 4¹⁰ = 17 nha Trần Quỳnh Mai

\(\left(5.4^{11}-3.16^5\right):4^{10}=17\)

nha bạn                       ^_^

\(\dfrac{4^5\cdot9^4}{8^3\cdot27^3}=\dfrac{\left(2^2\right)^5\cdot\left(3^2\right)^4}{\left(2^3\right)^3\cdot\left(3^3\right)^3}=\dfrac{2^{10}\cdot3^8}{2^9\cdot3^9}=\dfrac{2}{3}\)

\(\dfrac{4^{20}\cdot3^{35}}{2^{37}\cdot27^{12}}=\dfrac{\left(2^2\right)^{20}\cdot3^{35}}{2^{37}\cdot\left(3^3\right)^{12}}=\dfrac{2^{40}\cdot3^{35}}{2^{37}\cdot3^{36}}=\dfrac{2^3}{3}\)

\(\dfrac{5^4\cdot20^4}{25^5\cdot4^5}=\dfrac{5^4\cdot5^4\cdot4^4}{5^5\cdot5^5\cdot4^5}=\dfrac{1}{5^2\cdot4}=\dfrac{1}{100}\)

\(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}=\dfrac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=3^2\)

TA có\(\frac{2^{12}.3^5.4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3}\)

=\(\frac{2^{12}.3^5.2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3}\)

=\(\frac{2^{24}.3^9}{2^{12}.3^5.\left(3+1\right)}-\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3}\)

=\(2^{20}.3^4-30\)