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a, (1/5)5x(3)5
=1/3125.243
=243/3125
b, (0,125)^3.512
=1/512.512
=1
c,(0,25)^4.1024
=1/256.1024
=4
2,hầu như chịu hết
a/ 4510 . 520 / 7515 = (32.5)10.520/ (3.52)15 = 320.530/ 315.530 = 35=243
b/ 215. 94 / 66. 83 = 215.38/ 26.36.29 = 32 = 9
a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
b) \(\frac{2^{15}\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)
a) \(=\frac{\left(3.15\right)^{10}.5^5.5^{15}}{75^5}=\frac{15^5.5^5.3^{10}.15^5.5^{15}}{75^5}=\frac{\left(15.5\right)^5.\left(15.5\right)^{15}.3^{10}}{75^5}=\frac{75^{20}.3^{10}}{75^5}=75^{15}.3^{10}\)
b) \(\frac{2^{15}.9^4}{9^4.9^2.\left(2^3\right)^3}=\frac{2^9.9^4}{2^9.9^4.9^2}=\frac{1}{81}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-5^{13}\cdot3^{13}\cdot5^{-9}}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{3^{14}\cdot5^4-3^{13}\cdot5^4}{3^{12}\cdot5^6\cdot2}\)
\(=\dfrac{3^{13}\cdot5^4\cdot2}{3^{12}\cdot5^6\cdot2}=\dfrac{3}{25}\)
45^10.5^20/75^15=243
0.8^5/0.4^6=80
2^15=9^4/6^6x8^3=9
1/3=3^-1
1/9=3^-2
99.99=9801<9999=>99^20<9999^10