Question

[phuong nguyen]

\(\dfrac{A=5.4^6.9^4-3^9.\left(-8^{ }\right)^4}{4.2^{13}.3^8+2.8^4.\left(-27\right)^3}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

\(A=\dfrac{5\cdot4^6\cdot9^4-3^9\cdot\left(-8\right)^4}{4\cdot2^{13}\cdot3^8+2\cdot8^4\cdot\left(-27\right)^3}\)

\(=\dfrac{5\cdot2^{12}\cdot3^8-3^9\cdot2^{12}}{2^{15}\cdot3^8-2^{13}\cdot3^9}\)

\(=\dfrac{2^{12}\cdot3^8\left(5-3\right)}{2^{13}\cdot3^8\left(2^2-3\right)}\)

\(=\dfrac{2^{13}}{2^{13}}=1\)

Answer 2

[phuong nguyen]

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