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Bài làm:
\(A=\frac{4^2}{15}.\frac{5^2}{24}.\frac{6^2}{35}.....\frac{20^2}{399}=\frac{4^2}{3.5}.\frac{5^2}{4.6}.\frac{6^2}{5.7}.....\frac{20^2}{19.21}=\frac{\left(4.5.6.....20\right)\left(4.5.6.....20\right)}{\left(3.4.5.....19\right)\left(5.6.7.....21\right)}=\frac{20.4}{3.21}=\frac{80}{63}\)
Học tốt!!!!
\(=\frac{7.6^{11}.2^{19}.3^5-2^{19}.6^{15}}{3^{21}.2^{28}-3^{17}.2^{28}}=\frac{2^{19}.6^{11}.\left(7.3^5-6^4\right)}{3^{17}.2^{28}.\left(3^4-1\right)}=\frac{2^{30}.3^{11}.3^4.\left(7.3-2^4\right)}{3^{17}.2^{28}.\left(3^4-1\right)}=\frac{2^2.13}{3^2.80}=\frac{13}{9.20}=\frac{13}{180}\)
\(B=\frac{36^2.90^3.5^4}{6^5.5^6}=\frac{\left(2^2.3^2\right)^2.\left(2.3^2.5\right)^3.5^4}{\left(2.3\right)^5.5^6}\)
\(B=\frac{2^2.3^4.2^3.3^6.5^3.5^4}{2^5.3^5.5^6}\)
\(B=\frac{2^7.3^{10}.5^7}{2^5.3^5.5^6}=2^2.3^5.5\)
\(B=4.243.5=4860\)
a: \(A=25+125=150\)
b: \(B=16+64=80\)
c: \(C=32+9+1=33+9=42\)
d: \(D=1+8+27=35+1=36\)
g: \(K=11\cdot3^{29}-\dfrac{3^{30}}{4\cdot3^{28}}=11\cdot3^{29}-\dfrac{9}{4}\)
23=8
24=16
25=32
26=64
27=128
28=256
29=512
210=1024
ủng hộ mk nha
Đặt \(A=15+2^4+2^5+...+2^{2020}\)
\(A=1+2+2^2+2^3+2^4+...+2^{2020}\)
\(2A=2+2^2+2^3+...+2^{2021}\)
\(\Rightarrow2A-A=2^{2021}-1\)
\(\Rightarrow A=2^{2021}-1\)