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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) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$
$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$

a) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)

a. 25 . 84 = 25 . 212 = 217
b. 256 . 1253 = 512 . 59 = 521
c. 32 . 95 = 32 . 310 = 312
d. 253 . 1254 = 56 . 512 = 518
e. 42 . 52 = 202

b)
\(\left|x-3\right|=1\)
*Với \(x-3=-1\) ; ta được:
\(x-3=-1\)
<=> \(x=2\)
*Với \(x-3=1\) ; ta được:
\(x-3=1\)
<=> \(x=4\)
Vậy x=2; x=4

a) \(3^{15}:3^5=3^{15-5}=3^{10}\)
b) \(4^6:4^6=4^0\)
c) \(9^8:3^2=\left(3^2\right)^8:3^2=3^{16}:3^2=3^{14}\).

a)(3^3)5:3^2=3^15:3^2=3^13
b)(9.2)^3:9^3=9^3.2^3:9^3=9^3:9^3.2^3=1.2^3=2^3

\(10.100.10^3=10^1.10^2.10^3=10^{1+2+3}=10^6\)
\(9^n:3^{n+2}=\left(3^2\right)^n:3^{n+2}=3^{2n}:3^{n+2}=3^{2n-\left(n+2\right)}=3^{2n-n-2}=3^{n-2}\)
10.100.103=105 9n:3n+2= câu này mk cx ko bt
thông cảm nha
hok tốt

1) 75 . 76 . 1124 = 75 + 6 . 1 = 711
2) 34 . 37 . 32 . 30 = 34 + 7 + 2 . 1 = 313
3) 5 . 25 . 5 . 514 . 521 = ( 5 . 5 ) . 52 . 514 . 521 = 52 . 52 . 514 . 521 = 52 + 2 + 14 + 21 = 539
4) 26 . 16 . 42 . 213 = 26 . 24 . 24 . 213 = 26 + 4 + 4 + 13 = 227
\(2^{^{ }3}\cdot2^5\cdot2^3\cdot6\cdot3^9\cdot3^2\)
\(=2^3\cdot2^5\cdot2^3\cdot2\cdot3\cdot3^9\cdot3^2\)
\(=2^{3+5+3+1}\cdot3^{1+9+2}\)
\(=2^{12}\cdot3^{12}\)
\(=\left(2\cdot3\right)^{12}\)
\(=6^{12}\)
Vậy \(n=12\)