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a))\(\frac{2^3.3^3.3^3.3^4.5^4.5^4.3^7.2^7.2^7.2^7.2^6}{2^5.2^5.3^5.2^6.2^6.3^6.3^6.3^4.5^4}=\frac{5^4.2^7}{3^4}=\frac{625.128}{81}=\frac{80000}{81}\)
\(\frac{18^3.75^4.24^7.2^6}{12^5.36^6.15^4}=\frac{2^3.3^6.3^4.5^8.2^{21}.3^7.2^6}{2^{10}.3^5.2^{12}.3^{12}.3^4.5^4}=\frac{2^{30}.3^{17}.5^8}{2^{22}.3^{21}.5^4}=\frac{2^8.5^4}{3^4}\)
mình làm đúng đó không tin thì bấm máy tính thử đi phạm thủy linh làm sai rồi
cho mình đúng hen
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
\(=\frac{5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)
\(=\frac{2.\left(5.2-3^2\right)}{5.3-7.2}=\frac{2.\left(5.2-3^2\right)}{15-14}=2.\left(5.2-3^2\right)\)
5.415.99−4.320.895.29.619−7.229.276
=5.(22)15.(32)9−22.320.(23)95.29.(2.3)19−7.229.(33)6
=5.230.318−229.3205.228.319−7.229.318
=229.318.(5.2−32)228.318.(5.3−7.2)
=2.(5.2−32)5.3−7.2 =2.(5.2−32)15−14 =2.(5.2−32)
Ta có: \(\dfrac{4^7\cdot2^8}{3\cdot2^{15}\cdot16^2-5\cdot2^2\cdot\left(2^{10}\right)^2}\)
\(=\dfrac{2^{22}}{3\cdot2^{15}\cdot2^8-5\cdot2^2\cdot2^{20}}\)
\(=\dfrac{2^{22}}{2^{22}\left(3\cdot2-5\right)}\)
\(=1\)
\(\dfrac{5}{7}x^3.\dfrac{2}{3}x^4.\left(-\dfrac{7}{10}x\right)\)
\(=\dfrac{5}{7}.\dfrac{2}{3}.\left(-\dfrac{7}{10}\right).\left(x^3.x^4.x\right)\)
\(=-\dfrac{1}{3}x^8\)
+ Phần hệ số: \(-\dfrac{1}{3}\)
+ Phần biến: \(x^8\)
Bài 4:
b: \(=x^2z\left(-1+3-7\right)=-5x^2z=-5\cdot\left(-1\right)^2\cdot\left(-2\right)=10\)
c: \(=xy^2\left(5+0.5-3\right)=2.5xy^2=2.5\cdot2\cdot1^2=5\)
\(\dfrac{-4}{7}.2^2yx.5xy^2\)
= (\(\dfrac{-4}{7}.2^2.5\))\(\left(y.y^2\right)\left(x.x\right)\)
= \(-\dfrac{80}{7}\)\(y^3x^2\)
\(-\dfrac{4}{7}.2^2y.5xy^2\\=\left(-\dfrac{4}{7}.2^2.5\right)\\ =-\dfrac{80}{7}xy^3\)