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a, 64 : 2 3 = 2 6 : 2 3 = 2 3
b, 243 : 3 4 = 3 5 : 3 4 = 3 1
c, 625 : 5 3 = 5 4 : 5 3 = 5 1
d, 7 5 : 343 = 7 5 : 7 3 = 7 2
e, 100000 : 10 3 = 10 5 : 10 3 = 10 2
f, 11 5 : 121 = 11 5 : 11 2 = 11 3
g, 243 : 3 3 : 3 = 3 5 : 3 3 : 3 = 3 1
h, 4 8 : 64 : 16 = 4 8 : 4 3 : 4 2 = 4 3
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)3^3-2=3
b)625/25=25=5^2
c)8^3+2=8^5
d)5^4+3/5^2=5^7:5^2=5^7-2=5^5
1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
a ) 6 4 : 2 3 = 2 6 - 2 3 = 2 3 b ) 243 : 3 4 = 3 5 : 3 4 = 3 1 c ) 635 : 5 3 = 5 4 : 5 3 = 5 1 d ) 7 5 : 343 = 7 5 : 7 3 = 7 2