Câu hỏi của thuỳ handan

Question

M = 820 + 4 20    /   425 + 64 5

Nguyen Thi Huyen · Accepted Answer

$M=\dfrac{8^{20}+4^{20}}{4^{25}+64^5}$

$\Leftrightarrow M=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}$

$\Leftrightarrow M=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}$

$\Leftrightarrow M=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}$

$\Leftrightarrow M=\dfrac{2^{40}}{2^{30}}$

$\Leftrightarrow M=2^{10}.$Câu trả lời: $M=\dfrac{8^{20}+4^{20}}{4^{25}+64^5}$

$\Leftrightarrow M=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}$

$\Leftrightarrow M=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}$

$\Leftrightarrow M=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}$

$\Leftrightarrow M=\dfrac{2^{40}}{2^{30}}$

$\Leftrightarrow M=2^{10}.$

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