tính :3^18.24^4/9^4.81^5
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\(\frac{3^{18}.24^4}{9^4.81^5}=\frac{3^{18}.\left(2^3.3\right)^4}{\left(3^2\right)^4.\left(3^4\right)^5}=\frac{3^{18}.2^{12}.3^4}{3^8.3^{20}}=\frac{3^{22}.2^{12}}{3^{28}}\)
\(=\frac{2^{12}}{3^6}=\frac{4096}{729}\)
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a, 8
b, 43046721( hình như đề sai phải bạn )
c, 43046721
d, ......
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\(a,\dfrac{2^4.6^7}{9^3.4^6}=\dfrac{2^4.\left(2.3\right)^7}{\left(3^2\right)^3.\left(2^2\right)^6}=\dfrac{2^4.2^7.3^7}{3^6.2^{12}}=\dfrac{2^{11}.3^7}{3^6.2^{12}}=\dfrac{3}{2}\)
\(b,\dfrac{3^{18}.24^4}{9^4.81^5}=\dfrac{3^{18}.\left(3.2^3\right)^4}{\left(3^2\right)^4.\left(3^4\right)^5}=\dfrac{3^{18}.3^4.2^{12}}{3^8.3^{20}}=\dfrac{3^{22}.2^{12}}{3^{28}}=\dfrac{2^{12}}{3^8}\)
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a)\(\left[\frac{3}{7}\cdot\frac{4}{15}+\frac{1}{3}\cdot\left(9^{15}\right)\right]^0\cdot\frac{1}{3}\cdot\frac{6^8}{12^4}\)
\(=1\cdot\frac{1}{3}\cdot\frac{6^4\cdot6^4}{12^4}=\frac{1}{3}\cdot\frac{36^4}{12^4}=\frac{1}{3}\cdot81=27\)
\(\frac{3^{18}.24^4}{9^4.81^5}=\frac{3^{18}.24^4}{3^{2^4}.3.24^5}=\frac{3^{18}.24^4}{3^9.24^5}=\frac{3^9}{24}\)
=\(\frac{3^9}{2^3.3}=\frac{3^8}{2^3}\)