27^2.2^3.5^4 phần 15^2.6^9 rut gon
rut gon 5^2.6^11.16^2 6^2.12^6.15^2/2.6^12.10^4-81^2.960^3
\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}+\frac{9^2.2^{11}}{16^2.6^3}\)
rut gon 5^2.6^11.16^2+6^2.12^6.15^2/2.6^12.10^4-81^2.960^3
Ta có:
\(\frac{5^2.6^{11}.16^2.6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\) = \(\frac{5^2.6^{11}.6^2.6^2.6^6.2^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4-3^8.2^{15}.3^3}\) = \(\frac{5^6.6^{21}.2^8.3^2}{2^{17}.3^{12}.5^4-3^{11}.2^{15}}\) = \(\frac{5^6.3^{23}.2^{29}}{3^{11}.2^{15}.\left(2^2.3.5^4-1\right)}\)
= \(\frac{5^6.3^{13}.2^{14}}{2^2.3.5^4-1}\)
Nhớ cho mk nha bạn!
Rut gon roi tinh: ( \(\frac{12^2}{4^2.6^2}\) - \(\frac{15^3}{25^2.6^2}\) - \(\frac{8^2.9^2}{4^3.6^4}\) )
rut gon bieu thuc 3^6*45^4-3^10*15^3/27^4*25^3+45^6
rut gon bieu thuc sau : 4^2.25^2+32.125/2^3.5^2
rut gon phan so: (-2)^3.3^3.5^3.7.8 / 3.5^3.2^4.42
(-2)^3.3^3.5^3.7.8/3.5^3.2^4.42
=(-2)^2.(-2).3^3.5^3.7.8/3.5^3.2^2.2^2.7.6
=4.(-2).3^3.5^3.7.8/3.5^3.4.4.7.6
=-1.3^2.8/6
=-72/6=-12
\(\frac{\left(-2\right)^3.3^3.5^3.7.2^3}{3.5^3.2^4.2.3.7}\)=\(\frac{\left(-2\right)^2.\left(-2\right).3^3.5^3.7.2^3}{3^2.5^3.2^5.7}\)=\(\frac{2^5.\left(-2\right).3}{2^5}\)=\(-6\)
219 x 273 + 15 x 49 x 94
69 x 210 + 1210
rut gon phân so tren
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{10}+\left(2^2.3\right)^{10}}\)
\(=\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\)
\(=\frac{2^{19}.3^9+2^{19}.3^9.5}{2^{19}.3^9+2^{20}.3^{10}}\)
\(=\frac{2^{19}.3^9.\left(1+5\right)}{2^{19}.3^9\left(1+2.3\right)}\)
\(=\frac{6}{7}\)
rut gon : B= \(\frac{4^2.25^2+32.125}{2^3.5^2}\)
\(B=\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=\frac{2^3.5^2.2.5.7}{2^3.5^2}=2.5.7=70\)