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\(a,5^2.36+25.4\)
\(=25.36+25.4\)
\(=25.\left(36+4\right)\)
\(=25.40\)
\(=1000\)
\(b,7^9.7^7:7^{15}-7^0\)
\(=7^{16}:7^{15}-1\)
\(=7-1\)
\(=6\)
a) 52.36 + 25 .4
= 25.36 + 25 .4
=25 . ( 36 + 4 )
=25 . 40
=25.4.10
=100.10
=1000
1 So sánh các lũy thừa
a) 912 và 277
Ta có : 912 = (32)12 = 32.12 = 324
277 = (33)7 = 33.7 = 321
Vì 24 > 21 nên 324 > 321 nên 912 > 277
b) 12580 và 25118
Ta có : 12580 = (53)80 = 53.80 = 5240
25118 = (52)118 = 52.118 = 5236
240 > 236 nên 5240 > 5236 nên 12580 > 25118
c) 1030 và 2100
Ta có : 1030 = 103. 10 = (103)10 = 100010
2100 = 210.10 = (210)10 = 102410
Vì 1000 < 1024 nên 1030 < 2100
a) 100:{250:[450−(4.53−25.4)]}100:{250:[450−(4.53−25.4)]}
=100:{250:[450−(4.125−25.4)]}=100:{250:[450−(4.125−25.4)]}
=100:{250:[450−(500−100)]}=100:{250:[450−(500−100)]}
=100:[250:(450−400)]=100:[250:(450−400)]
=100:(250:50)=100:(250:50)
=100:5=100:5
=20=20
b) 4(18−15)−(5−3).324(18−15)−(5−3).32
=4.3−2.32=4.3−2.32
=4.3−2.9=4.3−2.9
=12−18=12−18
=−6=−6
\(3^3\cdot5^3-20\cdot\left\{300-\left[546-2^3\cdot\left(7^8-7^6+7^0\right)\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300-\left[546-2^3\cdot5647153\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300-\left[546-45177224\right]\right\}\)
\(=3^3\cdot5^3-20\cdot\left\{300--45176678\right\}\)
\(=3^3\cdot5^3-20\cdot45176978\)
\(=3375-903539560\)
\(=-903536185\)
\(626500:\left\{50^2:\left[178-4\cdot\left(35-21:3\right)\right]\right\}\)
\(=626500:\left\{50^2:\left[178-4\cdot\left(35-7\right)\right]\right\}\)
\(=626500:\left\{50^2:\left[178-4\cdot28\right]\right\}\)
\(=626500:\left\{50^2:\left[178-112\right]\right\}\)
\(=626500:\left\{50^2:66\right\}\)
\(=626500:\frac{1250}{33}\)
\(=\frac{82698}{5}\)
CHUC BAN HOC TOT >.<
a) \(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
=\(\left(2^3.9^4+9^3.9.5\right):9^2\left(10-1\right)\)
= \(\left(8-9^4+9^4.5\right):9^2.9\)
=\(9^4\left(8-5\right):9^3\)
=\(9^4.3:9^3\)
=\(9^4:9^3.3\)
=\(9.3\)
=\(27\)