Question

\(\dfrac{30.4^7.3^{29}-5.14^52^{12}}{5^4.6^{14}.9^7-12.8^5.7^5}\)

Giúp mình bài này vs ạ, gấp gấp.

 

Answer 1

Lời giải:

\(\frac{30.4^7.3^{29}-5.14^5.2^{12}}{5^4.6^{14}.9^7-12.8^5.7^5}=\frac{2.3.5.2^{14}.3^{29}-5.2^5.7^5.2^{12}}{5^4.2^{14}.3^{14}.3^{14}-2^2.3.2^{15}.7^5}\\ =\frac{2^{15}.3^{30}.5-2^{17}.5.7^5}{2^{14}.3^{28}.5^4-2^{17}.3.7^5}\\ =\frac{2^{15}.5(3^{30}-2^2.7^5)}{2^{14}.3(3^{27}.5^4-2^3.7^5)}\\ =\frac{10(3^{30}-4.7^5)}{3(3^{27}.5^4-8.7^5)}\)

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