180:{300:[450-(4x5^3-2^2x25)]}
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\(180:\left\{300:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.125-4.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(500-100\right)\right]\right\}\\ =180:\left\{300:\left[450-400\right]\right\}\\ =180:\left\{300:50\right\}\\ =180:6\\ =30\)
\(180:\left\{300:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.125-4.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.100\right)\right]\right\}\\ =180:\left\{300:\left[450-400\right]\right\}\\ =180:\left\{300:50\right\}\\ =180:6\\ =30\)
\(a,3^3+3^2-\left(2^7:2^5+7^8:7^7\right)=27+9-\left(2^2+7\right)=36-11=25\)
\(b,27.77+27.27-27=27\left(77+27-1\right)=27.103=2781\)
\(c,52:\left(43-30\right)+144-16=52:13+128=4+128=132\)
\(f,3^2.101-3^2.101^0=3^2\left(101-101^0\right)=9\left(101-1\right)=9.100=900\)
\(a,245-96+6\)
\(=155\)
\(b,=23\times\left(65+35\right)\)- 360
\(=23\times100-360\)
\(=1940\)
\(c,3^3+3^2-\left(2^2+7\right)\)
\(3^3+3^2-\left(4+7\right)\)
=\(3^3+3^2-11\)
=\(27+9-11\)
a) 450 – ( 25 – 10) = 450 – 15
= 435
450 – 25 – 10 = 425 – 10
= 415
b) 180 : 6 : 2 = 30 : 6
= 15
180 : ( 6 : 2 ) = 180 : 3
= 60
c) 410 – (50 +30) = 410 -80
= 330
410 - 50 + 30 = 360 + 30
= 390
d) 16 x (6 : 3) = 16 x 2
= 32
16 x 6 : 3 = 96 : 3
= 32
\(a,2^{300}=\left(2^3\right)^{100}=8^{100}\)
\(3^{200}=\left(3^2\right)^{100}=9^{100}\)
Vì \(8^{100}< 9^{100}\) nên \(2^{300}< 3^{200}\)
\(b,8^5=32768\)
\(6^6=46656\)
Vì \(32768< 46656\) nên \(8^5< 6^6\)
\(c,3^{450}=\left(3^3\right)^{150}=27^{150}\)
\(5^{300}=\left(5^2\right)^{150}=25^{150}\)
Vì \(27^{150}>25^{150}\) nên \(3^{450}>5^{300}\)
#Ayumu
\(a)4\cdot8\cdot16^2=2^2\cdot2^3\cdot\left(2^4\right)^2=2^5\cdot2^8=2^{13}\\ b)4^3\cdot64=\left(2^2\right)^3\cdot2^6=2^6\cdot2^6=2^{12}\\ c)3^4\cdot9\cdot27^2=3^4\cdot3^2\cdot\left(3^3\right)^2=3^4\cdot3^2\cdot3^6=3^{12}\\ d)16^2\cdot9^4=\left(2^4\right)^2\cdot\left(3^2\right)^4=2^8\cdot3^8=\left(2\cdot3\right) ^8=6^8\\ e)25\cdot5\cdot125=5^2\cdot5\cdot5^3=5^6\\ g)81\cdot3^3=3^4\cdot3^3=3^7\\ h)125^2\cdot25^4=\left(5^2\right)^2\cdot\left(5^2\right)^4=5^4\cdot5^8=5^{12}\\ i)4^2\cdot25=4^2\cdot5^2=\left(4\cdot5\right)^2=20^2\)
180 : { 300 : [ 450 - ( 4 . 53 - 22 . 25 )]}
= 180 : { 300 : [ 450 - ( 4 . 125 - 4 . 25 )]}
= 180 : { 300 : [ 450 - ( 500 - 100 )]}
= 180 : { 300 : 50 }
= 180 : 6
= 30
180: ( 300: ( 450 - (4 x 53 - 22x 25)))
=180: ( 300: ( 450 - ( 500 - 100 )))
=180: ( 300: ( 450 - 400 ))
=180: ( 300: 50)
=180: 6 = 30