\(240:\left(5^3-5^3:5^2\right)-3^6:3^4+15\cdot11\cdot\left(13-9\right)\)

\(=240:\left(5^3-5\right)-3^{6-4}+15\cdot11\cdot4\)

\(=240\cdot\left(125-5\right)-3^2+60\cdot11\)

\(=240:120-9+60\cdot\left(10+1\right)\)

\(=2-9+600+60\)

\(=653\)

\(\dfrac{-2}{9}-\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{1}{15}+\dfrac{1}{57}+\dfrac{1}{3}-\dfrac{1}{36}\)

\(=\left(-\dfrac{2}{9}-\dfrac{3}{4}-\dfrac{1}{36}\right)+\left(\dfrac{3}{5}+\dfrac{1}{15}+\dfrac{1}{3}\right)+\dfrac{1}{57}\)

\(=\dfrac{-8-27-1}{36}+\dfrac{9+1+5}{15}+\dfrac{1}{57}\)

\(=-\dfrac{36}{36}+\dfrac{15}{15}+\dfrac{1}{57}\)

\(=\dfrac{1}{57}\)

a) (- 15) . 4 – 240 : 6 + 36 : (- 2) . 3 = - 60 – 40 + (- 18) = - 118

b) (- 2)⁵ + [(- 69) : 3 + 53] . (- 2) – 8 

= - 32 + (- 23 + 53) . (- 2) - 8

= - 32 + 30 . (- 2) - 8

= - 32 + (- 60) – 8

= - 100

a.

= -30-15+21-30-15-9

= (-30 - 30)+(-15-15)+(21-9)

= -60 -30 + 12

= -78 

b. 

= (6-18)+(-5+4)+(-20+21)

= 12 + (-1) + 1

=12

c. 

= 27.(19+31)

=27. 50 

= 1350 

d. 

= (-25).(64+36)

= -25 . 100

= -2500

e. 18.36 + 72.15

= 18.36 + 4.18.15 

=18.( 36 + 60)

= 18.96

= 1728

c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)

\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)

\(=1-2=-1\)

Giải:

a)-1/12+4/3=-1/12+16/12=15/12=5/4

b)(-4/14-3/15)-(1/5-20/35-(-1)).7

=-17/35-22/35.7

=-17/35-22/5

=-171/35

c)3/5+-5/20+30/75+-7/4

=3/5+-1/4+2/5+-7/4

=(3/5+2/5)+(-1/4+-7/4)

=1+-2

=-1

d)5/6.-12/14+7/13

=-5/7+7/13

=-16/91

e)2/-9-5/-36-1/4

=-1/12-1/4

=-1/3

f)2/23+-5/12+7/18+21/23+-7/12

=(2/23+21/23)+(-5/12+-7/12)+7/18

=1+-1+7/18

=7/18

\(\frac{3^2.9^3.25^2.12^6}{3^{15}.5^4.6^3.4^2}=\frac{3^2.3^{2.3}.5^{2.2}.3^6.4^6}{3^{15}.5^4.2^3.3^3.2^{2.2}}=\frac{3^2.3^6.3^6.5^4.2^{2.6}}{3^{15}.3^3.5^4.2^3.2^4}=\frac{3^{14}.2^{12}.5^4}{3^{18}.5^4.2^7}=\frac{2^5}{3^4}=\frac{32}{81}\)

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