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a)27^6:9^3=(3^3)^6:(3^2)^3=3^18:3^6=3^12
b)4^20:2^15=(2^2)^20:2^15=2^40:2^15=2^25
a) 27^6 : 9^3
= ( 3^3)^6 : ( 3^2)^3
= 3^18 : 3^6
= 3^12
b) 4^20 : 2^15
= ( 2^2)^20 : 2^15
= 2^40 : 2^15
= 2^25
d) 64^4 x 16^5 : 4^20
= (4^3)^4 x (4^2)^5 : 4^20
= 4^12 x 4^10 : 4^20
= 4^22 : 4^20
= 4^2
a, \(7^{2010}:7=7^{2009}\)
b, \(4^{20}:4^0=4^{20}\)
c, \(\frac{3^8.3^{15}}{3^7.3^{14}}=\frac{3^{23}}{3^{21}}=3^2\)
d, \(\frac{4^{16}.4^2}{4^{20}:4^2}=\frac{4^{18}}{4^{18}}=4^0\)
e, \(\frac{2^{15}:2^{10}}{2^{18}:2^{15}}=\frac{2^5}{2^3}=2^2\)
f, \(25^4:125=\left(5^2\right)^4:5^3=5^8:5^3=5^5\)
a125^5:25^3=(5^3)^5:(5^2)^3=5^15:5^6=5^9
b27^6:9^3=(3^3)^6:(3^2)^3=3^18:3^6=3^13
c 4^20:2^15=(2^2)^20:2^15=2^40:2^15=2^25
d24^n:2^2.n=24^n:(2^2)^n=24^n:4^n=(24:4)^n=6^n
e 64^4 . 16^5:4^20=(2^6)^4 . (2^4)^5 :(2^2)^20=2^24 . 2^20:2^40=2^4
g 32^4:8^6=(2^5)^4:(2^3)^6=2^20:2^18=2^2
a, \(125^5:25^3=\left(5^3\right)^5:\left(5^2\right)^3=5^{15}:5^6=5^9\)
b, \(27^6:9^3=\left(3^3\right)^6:\left(3^2\right)^3=3^{18}:3^6=3^{12}\)
c, \(4^{20}:2^{15}=\left(2^2\right)^{20}:2^{15}=2^{40}:2^{15}=2^{25}\)
d, \(24^n:2^{2.n}=2^n.12^n:2^n.2^n=12^n:2^n=2^n.6^n:2^n=6^n\)
e, \(64^4.16^5:4^{20}=4^{12}.4^{10}:4^{20}=4^{12+10-20}=4^2\)
g, \(32^4:8^6=8^4.4^4:8^4.8^2=4^4:4^2.2^2=4^2.2^2=2^4.2^2=2^6\)
a/ (26.16) :42
=(26.22) :(22)2
=28 : 24=24=16
b/ (510:625) : 25
= (510:54) :52
=56 : 52=53=625
c/ (81.243):3
= (34.35) :3
= 39 :3=38 =6561
a) 19915 . 19925 = 19915 + 25 = 19940
b) 352019 : 352012 = 352019 - 2012 = 357
c) a . a99 = a1 + 99 = a100
d) x : x15 . x6 = x1 - 15 . x6 = x-14 . x6 = x-14 + 6 = x-8
e) 16 . 25 = (24)1 . 25 = 24 . 25 = 24 + 5 = 29
g) 49 . 75 = 72 . 75 = 72 + 5 = 77
h) 36 . 216 = (bí r!)
k) a2019 : a2015 = a2019 - 2015 = a4