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(15×15×15/16×16×16 + 179/1710)×(1500/1600 -176/187)
=(15/16 + 1/17) × (15/16 - 16/17)
=(15/16 + 1/17) × (15/16 + (-16/17))
=15/16×(1/17+(-16/17))
=15/16 × (-15/17)
=-225/272
\(\frac{1}{7}.\frac{5}{9}+\frac{5}{9}.\frac{1}{7}+\frac{5}{9}.\frac{3}{7}\)
\(=\frac{5}{9}.\left(\frac{1}{7}+\frac{1}{7}+\frac{3}{7}\right)\)
\(=\frac{5}{9}.\frac{5}{7}=\frac{25}{63}\)
học vui!
\(\dfrac{-5}{9}+\dfrac{8}{15}+\dfrac{-2}{11}+\dfrac{4}{-9}+\dfrac{7}{15}\)
=\(\left(\dfrac{-5}{9}+\dfrac{-4}{9}\right)+\left(\dfrac{8}{15}+\dfrac{7}{15}\right)-\dfrac{2}{11}\)
=\(-1+1-\dfrac{2}{11}=\dfrac{-2}{11}\)
\(=\left(\dfrac{-5}{9}+\dfrac{-4}{9}\right)+\left(\dfrac{8}{15}+\dfrac{7}{15}\right)+\dfrac{-2}{11}\\ =-1+1+\dfrac{-2}{11}\\ =0+\dfrac{-2}{11}=\dfrac{-2}{11}\)
Lời giải:
$3.25-27:9+25.4-18:9=75-3+100-2=75-(3+2)+100=75-5+100=70+100=170$
\(\left(3^4.81-9^2.9\right):3^4\)
\(=81-9^3:3^4\)
\(=81-\left(3^2\right)^3:3^4\)
\(=81-3^6:3^4\)
\(=81-3^2=81-9=72\)
a,(-37-17).(-9)+35.(-9-11)
=(-54).(-9)+35.(-20)
=486-700
=-214
\(\left(2^3\cdot9^4+9^3\cdot45\right):\left(9^2\cdot10-9^2\right)\)
\(=\left(2^3\cdot3^8+3^6\cdot5\cdot3^2\right):\left[9^2\cdot\left(10-1\right)\right]\)
\(=\left(2^3\cdot3^8+3^8\cdot5\right):\left(9^2\cdot9\right)\)
\(=\left[3^8\cdot\left(2^3+5\right)\right]:9^3\)
\(=3^8\cdot13:3^6\)
\(=3^2\cdot13\)
\(=117\)
\(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
\(=\left(2^3.3^8+3^6.3^2.5\right):\left(3^4.10-3^4\right)\)
\(=\left(2^3.3^8+3^8.5\right):\left(3^4.\left(10-1\right)\right)\)
\(=3^8\left(2^3+5\right):3^4.9=3^8\left(2^3+5\right):3^6\)
\(=3^2.13=9.13=117\)