Tính: ( 5.4^12-3.16^6):2^25
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(5.4^{11}-3.16^5\right):4^{10}=\left(5.4^{11}-3.4^{10}\right):4^{10}\)
\(=5.4^{11}:4^{10}-3.4^{10}:4^{10}\)
\(=\frac{5.4^{11}}{4^{10}}-\frac{3.4^{10}}{4^{10}}=5.4-3=20-3\)
\(=17\)
(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!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
=( 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
![](https://rs.olm.vn/images/avt/0.png?1311)
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
![](https://rs.olm.vn/images/avt/0.png?1311)
(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
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{4^5\cdot9^4}{8^3\cdot27^3}=\dfrac{\left(2^2\right)^5\cdot\left(3^2\right)^4}{\left(2^3\right)^3\cdot\left(3^3\right)^3}=\dfrac{2^{10}\cdot3^8}{2^9\cdot3^9}=\dfrac{2}{3}\)
\(\dfrac{4^{20}\cdot3^{35}}{2^{37}\cdot27^{12}}=\dfrac{\left(2^2\right)^{20}\cdot3^{35}}{2^{37}\cdot\left(3^3\right)^{12}}=\dfrac{2^{40}\cdot3^{35}}{2^{37}\cdot3^{36}}=\dfrac{2^3}{3}\)
\(\dfrac{5^4\cdot20^4}{25^5\cdot4^5}=\dfrac{5^4\cdot5^4\cdot4^4}{5^5\cdot5^5\cdot4^5}=\dfrac{1}{5^2\cdot4}=\dfrac{1}{100}\)
\(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}=\dfrac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=3^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
TA có\(\frac{2^{12}.3^5.4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3}\)
=\(\frac{2^{12}.3^5.2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3}\)
=\(\frac{2^{24}.3^9}{2^{12}.3^5.\left(3+1\right)}-\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3}\)
=\(2^{20}.3^4-30\)
![](https://rs.olm.vn/images/avt/0.png?1311)
( 5 . 4 12 - 3 . 16 6 ) : 2 25
= ( 5 . 4 12 - 3 . 4 12 ) : 2 25
= ( 4 12 . 2 ) : 2 25
= 2 24 . 2 : 2 25
= 2 25 : 2 25
= 1