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\(\frac{\left(5^4-5^3\right)}{125^5}=\frac{5^3\left(5-1\right)}{5^{15}}=\frac{5^3\times4}{5^{15}}=\frac{4}{5^{12}}<\frac{64}{5^{12}}=\frac{64}{5^6\times25^3}<\frac{64}{25^3}\)
VT<VP. ĐỀ BÀI SAI.
a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
a, 32.(-64) - 64.68
= -64( 32 + 68)
= -64 .100
= - 6400
b, -54.76 + 46.(-76)
= -76.(54 + 46)
= - 76. 100
= - 7600
c, 75.18 + 18.25
= 18.(75 + 25)
= 18 . 100
= 1800
d, (-4).(3).(-125)(-25).(-8)
= 3.(-4. (-25).((-125).(-8)
= 3.100.1000
= 300000
a) \(\left[\left(25-2^2.3\right)+\left(3^2.4+16\right)\right]:5\)
\(=\left[\left(25-4.3\right)\right]+\left(9.4+16\right):5\)
\(=\left[\left(25-12\right)+\left(36+16\right)\right]:5\)
\(=\left[13+52\right]:5\)
\(=65:5\)
\(=13\)
b)\(125\left(28+72\right)-25\left(3^2.4+64\right)\)
\(=125.100-25\left(9.4+64\right)\)
\(=12500-25.\left(36+64\right)\)
\(=12500-25.100\)
\(=12500-2500\)
\(=10000\)
a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$
$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$
$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$
$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$
$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$
b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$
$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$