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\(\left(5.4^{11}-3.16^5\right):4^{10}=\left(5.4^{11}-3.4^{10}\right):4^{10}\)
\(=5.4^{11}:4^{10}-3.4^{10}:4^{10}\)
\(=\frac{5.4^{11}}{4^{10}}-\frac{3.4^{10}}{4^{10}}=5.4-3=20-3\)
\(=17\)
(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
Giải:
a) \(\dfrac{5^3.90.4^3}{25^2.3^2.2^{13}}\)
\(=\dfrac{5^3.5.3^2.2.\left(2^2\right)^3}{\left(5^2\right)^2.3^2.2^{13}}\)
\(=\dfrac{5^4.3^2.2.2^6}{5^4.3^2.2^{13}}\)
\(=\dfrac{5^4.3^2.2^7}{5^4.3^2.2^{13}}\)
\(=\dfrac{1}{2^6}=\dfrac{1}{64}\)
b) \(\dfrac{15^2.16^4-15^3.16^3}{12^2.20^3-20^2.12^3}\)
\(=\dfrac{15^2.16^3.16-15^2.16^3.15}{12^2.20^2.20-20^2.12^2.12}\)
\(=\dfrac{15^2.16^3.\left(16-15\right)}{12^2.20^2.\left(20-12\right)}\)
\(=\dfrac{\left(3.5\right)^2.\left(2^4\right)^3.1}{\left(3.2^2\right)^2.\left(2^2.5\right)^2.8}\)
\(=\dfrac{3^2.5^2.2^{12}}{3^2.\left(2^2\right)^2.\left(2^2\right)^2.5^2.2^3}\)
\(=\dfrac{3^2.5^2.2^{12}}{3^2.5^2.2^4.2^4.2^3}\)
\(=\dfrac{3^2.5^2.2^{12}}{3^2.5^2.2^{11}}\)
\(=2\)
c) \(\dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
\(=\dfrac{2.3+2.3.2.2+2.3.7.7}{3.5+3.5.2.2+3.5.7.7}\)
\(=\dfrac{2.3+2.3.4+2.3.49}{3.5+3.5.4+3.5.49}\)
\(=\dfrac{2.3.\left(1+4+49\right)}{3.5.\left(1+4+49\right)}\)
\(=\dfrac{2.3}{3.5}\)
\(=\dfrac{2}{5}\)
Chúc bạn học tốt!
( 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