a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)

b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)

c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)

d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)

giúp mk vs nha

1. 2².3².5:2².3-3²=3.5-3²=15-9=6
2. 2.5²-2².3²:3²=2.(5²-2)=2.(25-2)=46

3. 3³.19-3³.12=3³.(19-12)=3³.7=189

4. 3.5²-16:2²=3.5²-2⁴:2²=3.25-4=75-4=71

a) \(9.x-2.x=\frac{6^{27}}{6^{25}}+\frac{48}{12}\)

\(\Leftrightarrow7x=6^2+4\)

\(\Leftrightarrow7x=36+4=40\)

\(\Leftrightarrow x=\frac{40}{7}\)

Vậy : \(x=\frac{40}{7}\)

b) \(11^x=5.x+\frac{5^{31}}{5^{29}}+3.2^2-10^0\)

\(\Leftrightarrow11^x=5x+5^2+12-1\)

\(\Leftrightarrow11^x=5x+36\)

\(\Rightarrow x\in\varnothing\)

a,\(2^4\cdot3^5:6^4\)

\(=\frac{2^4\cdot3^6}{\left(2\cdot3\right)^4}\)

\(=\frac{2^4\cdot3^6}{2^4\cdot3^4}\)

\(=3^2\)

Bài 2

\(a,5^3\cdot8=5^3\cdot2^3=10^3=1000\)

\(b,2^5-2019^0=32-1=31\)

\(c,3^3+2^5-1^{10}=27+32-1=58\).

\(d,9^2\cdot33-81\cdot23+5^2=81\cdot33-81\cdot23+25\)

\(=81\cdot\left(33-23\right)+25\)

\(=810+25=835\)

\(g,\left[2^2+6^2\right]:5+11^2\)

\(=\left[4+36\right]:5+121\)

\(=40:5+121=8+121\)

\(=129\)

\(d,\frac{14\cdot3^{10}-5\cdot3^{10}}{3^{12}}\)

\(=\frac{3^{10}\cdot\left(14-5\right)}{3^{12}}\)

\(=\frac{3^{10}\cdot9}{3^{12}}\)

\(=\frac{3^{10}\cdot3^2}{3^{12}}=\frac{3^{12}}{3^{12}}\)

\(=1\)

\(7^{13}:49^2=7^{13}:7^4=7^9\)

\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)

\(5^{20}\cdot9^{10}=5^{20}\cdot3^{20}=15^{20}\)

\(7^7\cdot13+7^7\cdot36=7^7\cdot\left(13+36\right)=7^7\cdot49=7^7\cdot7^2=7^9\)

\(5^{12}\cdot37-5^{12}\cdot12=5^{12}\cdot\left(37-12\right)=5^{12}\cdot25=5^{12}\cdot5^2=5^{14}\)