b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(2.0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5.\left(0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=\frac{2^5}{\frac{2}{5}}=\frac{2^4}{5}=\frac{16}{5}\)
c)\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^{12}}{3^6.2^6.2^9}=3^6\)
a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{15^{10}.3^{10}.5^{20}}{5^{15}.15^{15}}=\frac{3^{10}.5^5}{15^5}=\frac{3^{10}.5^5}{5^5.3^5}=3^5\)
\(\frac{45^{10}\cdot5^{20}}{75^{15}}=\frac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(5^2\cdot3\right)^{15}}\)
=\(\frac{3^{20}\cdot5^{10}\cdot5^{20}}{5^{30}\cdot3^{15}}=\frac{3^{20}\cdot5^{30}}{5^{30}\cdot3^{15}}=3^5=243\)
k cho ah nha
b,\(\frac{\left(0.8\right)^5}{\left(0.4\right)^6}=\frac{\left(2\cdot0.4\right)^5}{\left(0.4\right)^6}=\frac{2^5\cdot\left(0.4\right)^5}{\left(0.4\right)^6}=\frac{2^5}{0.4}=\frac{32}{\frac{2}{5}}=\frac{16}{5}\)
c,\(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot\left(3^2\right)^4}{\left(2\cdot3\right)^6\cdot\left(2^3\right)^3}=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=\frac{2^{15}\cdot3^8}{2^{15}\cdot3^6}=3^2=9\)
k cho anh nha
\frac{45^{10}\cdot5^{20}}{75^{15}}=\frac{\left(3^2\cdot5\right)^{10}cdot5^{20}}{\left(5^2\cdot3\right)^{15}}75154510⋅520=(52⋅3)15(32⋅5)10⋅520
=\frac{3^{20}\cdot5^{10}\cdot5^{20}}{5^{30}\cdot3^{15}}=\frac{3^{20}\cdot5^{30}}{5^{30}\cdot3^{15}}=3^5=243530⋅315320⋅510⋅520=530⋅315320⋅530=35=243
b,\frac{\left(0.8\right)^5}{\left(0.4\right)^6}=\frac{\left(2\cdot0.4\right)^5}{\left(0.4\right)^6}=\frac{2^5\cdot\left(0.4\right)^5}{\left(0.4\right)^6}=\frac{2^5}{0.4}=\frac{32}{\frac{2}{5}}=\frac{16}{5}(0.4)6(0.8)5=(0.4)6(2⋅0.4)5=(0.4)625⋅(0.4)5=0.425=5232=516
c,\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot\left(3^2\right)^4}{\left(2\cdot3\right)^6\cdot\left(2^3\right)^3}=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=\frac{2^{15}\cdot3^8}{2^{15}\cdot3^6}=3^2=966⋅83215⋅94=(2⋅3)6⋅(23)3215⋅(32)4=26⋅36⋅29215⋅38=215⋅36215⋅38=32=9
