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Ta có: \(\dfrac{\left(-3\right)^6\cdot15^5+9^3\cdot\left(-15\right)^6}{\left(-3\right)^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^6\cdot3^5\cdot5^5+3^6\cdot3^6\cdot5^6}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^{11}\cdot5^5+3^{11}\cdot3\cdot5^5\cdot5}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^{11}\cdot5^5\left(1+3\cdot5\right)}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3\cdot9}{8}=\dfrac{27}{8}\)
ta có : (ghi lại đề)
=6+12+18+24+30/3+6+9+12+15
=2*(3/3+6/6+9/9+12/12+15/15)
=2*(1+1+1+1+1)
=2*5=10
chúc main học tốt nhé
\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)
\(0,3x:\frac{10}{3}=\frac{6}{15}\)
\(\Leftrightarrow0,3x=\frac{3}{25}\)
\(\Leftrightarrow x=\frac{2}{5}\)