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a) \(\left(3^{35}+3^{34}-3^{33}\right):3^{32}\)
\(=\frac{3^{35}}{3^{32}}+\frac{3^{34}}{3^{32}}-\frac{3^{33}}{3^{32}}\)
\(=3^3+3^2-3\)
\(=27+9-3\)
\(=33\)
b) \(5^3.37+5^3.64-5^7:5^4\)
\(=5^3.37+5^3.64-5^3\)
\(=5^3\left(37+64-1\right)\)
\(=5^3.100\)
\(=125.100\)
\(=12500\)
\(\left(3^{35}+3^{34}-3^{33}\right)\div3^{32}=3^{33}\left(3^2+3-1\right)\div3^{32}\)
\(=3^{33}.11\div3^{32}=11\left(3^{33-32}\right)=11.3=33\)

2−3+5−[−12+5−(−3+7)−12]+322−3+5−[−12+5−(−3+7)−12]+32
=2−8−[−7−4−12]+32=2−8−[−7−4−12]+32
=2−8+23+32=2−8+23+32
=2−63=2−63
=−61

7)\(\dfrac{-19}{34}\left(\dfrac{17}{19}+\dfrac{49}{18}\right)+\dfrac{49}{18}\left(\dfrac{19}{34}-\dfrac{18}{7}\right)\)
=\(\dfrac{-19}{34}.\dfrac{17}{19}+\dfrac{49}{18}.\dfrac{-19}{34}+\dfrac{49}{18}.\dfrac{19}{34}-\dfrac{18}{7}.\dfrac{49}{18}\)
=\(\dfrac{1}{2}+\left(\dfrac{49}{18}.\dfrac{-19}{34}+\dfrac{49}{18}.\dfrac{19}{34}\right)-7\)
=\(\dfrac{1}{2}+\left[\dfrac{49}{18}\left(\dfrac{-19}{34}+\dfrac{19}{34}\right)\right]-7\)
=\(\dfrac{1}{2}+0-7=\dfrac{-13}{2}\)
8)\(\dfrac{29}{32}\left(\dfrac{41}{36}-\dfrac{32}{58}\right)-\dfrac{41}{36}\left(\dfrac{29}{32}+\dfrac{18}{41}\right)\)
=\(\dfrac{29}{32}.\dfrac{41}{36}-\dfrac{29}{32}.\dfrac{32}{58}-\dfrac{41}{36}.\dfrac{29}{32}+\dfrac{18}{41}.\dfrac{41}{36}\)
=\(\left(\dfrac{29}{32}.\dfrac{41}{36}-\dfrac{41}{36}\dfrac{29}{32}\right)-\dfrac{29}{32}.\dfrac{32}{58}+\dfrac{18}{41}.\dfrac{41}{36}\)
=\(0-\dfrac{1}{2}+\dfrac{1}{2}=0\)

\(\frac{11\cdot3^{32}\cdot3^8-9^{15}\cdot3}{\left(2\cdot3^{15}\right)^2}\)
\(=\frac{11\cdot3^{40}-3^{30}\cdot3}{2^2\cdot3^{30}}\)
\(=\frac{11\cdot3^{40}-3^{31}}{2^2\cdot3^{30}}\)
\(=\frac{3^{31}\cdot\left(11\cdot3^{19}-1\right)}{2^2\cdot3^{30}}\)
\(=\frac{3\cdot\left(11\cdot3^{19}-1\right)}{2^2}\)
ai tính nhanh được tiếp thì giải ra mik xem vs

a,\(5^3\left[\left(-7\right)+\left(-2\right)^3\right]+4\)
\(=125.\left[\left(-7\right)+\left(-8\right)\right]+4\)
\(=125.\left(-15\right)+4\)
\(=-1875+4=-1871.\)
b,\(47\left(45-15\right)-47\left(45+15\right)\)
\(=47\left(45-15-45-15\right)\)
\(=47.\left(-30\right)=-1410.\)
c,\(71.64-32.\left(-7\right)-32.\left(-11\right)\)
\(=32.\left(142+7+11\right)\)
\(=32.160=5120.\)
Mik khỏi viết lại để bài nha
= 3^32 . ( 56 - 28 ) /3^34
= 3^32 × 28 / 3^34
= 1 × 28 / 3^2
= 1 × 28 / 9
= 28 / 9
Đúg k cho mik nha
(3^32.56-3^32.28):3^34
=[3^32.(56-28)]:3^34
=3^32..28::3^34
=-3
Mình nghĩ thế nha