Question

[Yokona]

\(\frac{4^{1007}.9^{1007}}{3^{2015}.2^{2016}}\)

giúp mk nhé . mai mk phải nộp òi!

Answer 1

[Nguyễn Hưng Phát]

\(\frac{4^{1007}.9^{1007}}{3^{2015}.2^{2016}}=\frac{\left(2^2\right)^{1007}.\left(3^2\right)^{1007}}{3^{2015}.2^{2016}}\)

\(=\frac{2^{2014}.3^{2014}}{3^{2015}.2^{2016}}=\frac{2^{2014}.3^{2014}}{3^{2014}.2^{2014}.3.2^2}\)

\(=\frac{1}{3.2^2}=\frac{1}{3.4}=\frac{1}{12}\)

Answer 2

[_ℛℴ✘_]

Rút gọn

\(\frac{4^{1007}\cdot9^{1007}}{3^{2015}\cdot2^{2016}}=\frac{\left(2^2\right)^{2007}\cdot\left(3^2\right)^{1007}}{3^{2015}\cdot2^{2016}}\)

\(=\frac{2^{2\cdot1007}\cdot3^{2\cdot1007}}{3^{2015}\cdot2^{2016}}=\frac{2^{2014}\cdot3^{2014}}{3^{2015}\cdot2^{2016}}\)

\(=\frac{1}{3.2^2}=\frac{1}{12}\)

Vậy ...

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