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2 ^ 10 . 15 + 2 ^ 10 . 85
= 2 ^ 10 . ( 15 + 55 )
= 2 ^ 10 . 100
= 1024 . 100
= 102400
= 320 ^ 2
Lời giải:
\(2^{20}.15+2^{20}.85=2^{20}(15+85)=2^{20}.100=(2^{10})^2.10^2\)
\(=(2^{10}.10)^2=10240^2\)
\(3^8\cdot2^7\)
\(=3^7\cdot2^7\cdot3\)
\(=\left(3\cdot2\right)^7\cdot3=6^7\cdot3\)
\(=839808\)
\(3^8\times2^7=3^7\times3\times2^7=\left(3\times2\right)^7\times3=6^7\times3\)
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.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
= 85 x 85 - 84 x 84 = 85 x 84 + 85 - 84 x 84 = 84 x 84 + 84 + 85 - 84 x 84 = (84 x 84 - 84 x 84) + 85 + 84 = 169 = 13^2
= 13^2 nhaaaaaaa