Tính hợp lí:
\(55.2^2.5+4.89.5^2-3^2.10^3\)
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\(36:\left\{180:\left[2\cdot5^2-\left(5^3-3\cdot5\cdot7\right)\right]\right\}\)
\(=36:\left\{180:\left[2\cdot25-\left(125-15\cdot7\right)\right]\right\}\)
\(=36:\left\{180:\left[50-\left(125-105\right)\right]\right\}\)
\(=36:\left[180:\left(50-20\right)\right]\)
\(=36:\left(180:30\right)\)
\(=36:6\)
\(=6\)
\(=\dfrac{36}{180:\left[2\cdot25-5^3+15\cdot7\right]}=\dfrac{36}{180:30}=\dfrac{36}{6}=6\)
{[83 - (42.10+22.5):18] + 27}.32 + 100 = {[83 - 180:18]+27}.9 + 100 = {73 + 27}.9 +100 = 900 + 100 = 1000
{[83 - (4^2.10 + 2^2.5):18]+27}.3^2 + 100 = [83- 10 + 27].3^2 = 100.9 = 900
\(76-\left\{2\cdot\left[2\cdot5^2-\left(31-2\cdot3\right)\right]\right\}\)
\(=76-\left\{2\cdot\left[2\cdot25-\left(31-6\right)\right]\right\}\)
\(=75-\left[2\cdot\left(50-25\right)\right]\)
\(=76-\left(2\cdot25\right)\)
\(=76-50\)
\(=26\)
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\(6^2\cdot10:\left\{780:\left[10^3-\left(2\cdot5^3+35\cdot14\right)\right]\right\}\)
\(=36\cdot10:\left\{780:\left[1000-\left(2\cdot125+490\right)\right]\right\}\)
\(=360:\left\{780:\left[1000-\left(250+490\right)\right]\right\}\)
\(=360:\left[780:\left(1000-740\right)\right]\)
\(=360:\left(780:260\right)\)
\(=360:3\)
\(=120\)
a: =76-{2*[2*25-31+6]}
=76-{2*[50-31+6]}
=76-2*25
=76-50=26
b: \(=360:\left\{\dfrac{780}{1000-2\cdot125-490}\right\}\)
\(=360:\dfrac{780}{260}\)
=360/3=120
\(\dfrac{2^3.9^3.45}{9^2.10-9^2}=\dfrac{2^3.3^6.3^2.5}{9^2\left(10-1\right)}=\dfrac{2^3.3^8.5}{9^3}=\dfrac{2^3.3^8.5}{3^6}\)
\(=2^3.3^2.5=360\)
\(\frac{10^3+2\cdot5^3+5^3}{55}\)
\(=\frac{\left(5.2\right)^3+5^3\cdot\left(2+1\right)}{55}\)
\(=\frac{5^3\cdot2^3+5^3\cdot3}{55}\)
\(=\frac{5^3\cdot8+5^3\cdot3}{55}\)
\(=\frac{5^3\cdot\left(8+3\right)}{55}\)
\(=\frac{5^3\cdot11}{55}=\frac{5^3}{5}=5^2=25\)
Tick nha
=52.22.11+22.52.89-9.103
=52.22(11+89)-9.103
=(5.2)2.100-9.103
=102.102_9.103
=103(10-9)
=103=1000
\(55.2^2.5+4.89.5^2-3.10^3\)
\(=55.4.5+4.89.25-9.1000\)
\(=220.5+356.25-9000\)
\(=1100+8900-9000\)
\(=10000-9000\)
\(=1000\)