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\(\frac{6^8.16^5}{2^{27}.27^3}\)
\(=\frac{\left(2.3\right)^8.\left(2^4\right)^5}{2^{27}.\left(3^3\right)^3}\)
\(=\frac{2^8.3^8.2^{20}}{2^{27}.3^9}\)
\(=\frac{2^{28}.3^8}{2^{27}.3^9}\)
\(=\frac{2}{3}\)
Ta có: \(\frac{6^8.16^5}{2^{27}.27^3}\)
=\(\frac{\left(2.3\right)^8.\left(2^4\right)^5}{2^{27}.\left(3^3\right)^3}\)
=\(\frac{2^8.3^8.2^{20}}{2^{27}.3^9}\)
=\(\frac{2^{27}.2.3^8}{2^{27}.3^8.3}\)
=\(\frac{2}{3}\)
Hok tốt
a: \(=\dfrac{-3^4\cdot2^8}{2^2\cdot2^2\cdot3^2}=-3^2\cdot2^2=-6^2=-36\)
b: \(=\dfrac{3^6\cdot2^{15}}{3^6\cdot2^6\cdot2^{15}}=\dfrac{1}{2^6}=\dfrac{1}{64}\)
c: \(=\left(\dfrac{0.8}{0.4}\right)^5\cdot\dfrac{1}{0.4}=2^5\cdot\dfrac{1}{0.4}=\dfrac{32}{0.4}=80\)
i) \(\frac{25^9}{5^{16}}-5^3:5\)
\(=\frac{\left(5^2\right)^9}{5^{16}}-5^2\)
\(=\frac{5^{18}}{5^{16}}-25\)
\(=5^2-25\)
\(=25-25\)
\(=0.\)
k) \(\frac{5}{7}-\left|\frac{2}{-7}\right|\)
\(=\frac{5}{7}-\left|\frac{-2}{7}\right|\)
\(=\frac{5}{7}-\frac{2}{7}\)
\(=\frac{3}{7}.\)
l) \(\frac{3^6.3^4}{9^3}\)
\(=\frac{3^{6+4}}{\left(3^2\right)^3}\)
\(=\frac{3^{10}}{3^6}\)
\(=3^4.\)
\(=81.\)
Chúc bạn học tốt!
\(\frac{6^8\cdot16^5}{2^{27}\cdot27^3}=\frac{\left(2\cdot3\right)^8\cdot\left(2^4\right)^5}{2^{27}\cdot\left(3^3\right)^3}\)
\(=\frac{2^8\cdot3^8\cdot2^{20}}{2^{27}\cdot3^3}=\frac{2^{28}\cdot3^8}{2^{27}\cdot3^9}=\frac{2}{3}\)