Question

Tính M=\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)

Answer 1

Giải:

\(M=\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)

\(\Leftrightarrow M=\dfrac{2^{10}.4^{10}+4^{10}}{2^4.4^4+4^{11}}\)

\(\Leftrightarrow M=\dfrac{4^{10}\left(2^{10}+1\right)}{4^4.2^4\left(2^{10}+1\right)}\)

\(\Leftrightarrow M=\dfrac{4^6}{2^4}\)

\(\Leftrightarrow M=\dfrac{2^{12}}{2^4}\)

\(\Leftrightarrow M=2^8=256\)

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