tính nhanh giá trị biểu thức
a)\(2^{78}+2^{79}+2^{80}:2^{77}+2^{76}+2^{75}\)
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\(a;\frac{2^{78}+2^{79}+2^{80}}{2^{77}+2^{76}+2^{75}}=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(1+2+2^2\right)}=2^3=8\)
b) \(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^7\left(5^{49}+1\right)}{5^{49}+1}=5^7\)
\(\left(2^{78}+2^{79}+2^{80}\right):\left(2^{77}+2^{76}+2^{75}\right)=\left(2^{78}.7\right):\left(2^{75}.7\right)=2^{78}:2^{75}=8\)
278 ( 1 + 2+ 4) : [ 275 ( 4 + 2 + 1)]
278 : 275 = 23 = 8
278 ( 1 + 2+ 4) : [ 275 ( 4 + 2 + 1)]
278 : 275 = 23 = 8
\(=\left(2^{78}+2^{78}.2+2^{78}.4\right):\left(2^{75}.4+2^{75}.2+2^{75}\right)\)
\(=\left[2^{78}.\left(1+2+4\right)\right]:\left[2^{75}\left(1+2+4\right)\right]\)
\(=\frac{2^{78}.\left(1+2+4\right)}{2^{75}.\left(1+2+4\right)}\)
\(=2^3=8\)
\(\left(2^{78}+2^{79}+2^{80}\right):\left(2^{77}+2^{76}+2^{75}\right)\)
\(=2^3\left(2^{75}+2^{76}+2^{77}\right):\left(2^{75}+2^{76}+2^{77}\right)\)
\(=2^3\)
\(=8\)
Bài làm:
\(\left(2^{78}+2^{79}+2^{80}\right)\div\left(2^{77}+2^{76}+2^{75}\right)\)
\(=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(2^2+2+1\right)}\)
\(=2^3=8\)