Bài 1 : Tính toán
a. \(\left(-\frac{2}{3}\right)^4\): 24 d. \(\frac{3^3-\left(0,9\right)^5}{\left(2,7\right)^4}\)
b. \(\left(\frac{3}{4}\right)^3\). \(4^4\)
c. \(\frac{3.\left(0,8\right)^5}{\left(2,4\right)^4}\)
e. \(\left(\frac{-7}{2^{ }}\right)^2\)+ \(\left(\frac{-3}{4}\right)^3.64\)-\(\left(\frac{-61}{5}\right)\)
f. \(\frac{2^4.2^6}{\left(2^5\right)^2}\)- \(\frac{2^5.15^3}{6^3.10^2}\)
a/ \(\left(\frac{-2}{3}\right)^4:24=\frac{16}{81}:24=\frac{2}{243}\)
b/ \(\left(\frac{3}{4}\right)^3.4^4=\frac{27}{64}.256=108\)
c/ \(\frac{3.0,8^5}{2,4^4}=\frac{3.0,32768}{33,1776}=\frac{0,98304}{33,1776}=\frac{4}{135}\)
d/ \(\frac{3^3-0,9^5}{2,7^4}=\frac{27-0,59049}{53,1441}=\frac{26,40951}{53,1441}=0,4969415231\)
e/\(\left(\frac{-7}{2}\right)^2+\left(\frac{-3}{4}\right)^3.64-\left(\frac{-61}{5}\right)\)
\(=\frac{49}{4}+\frac{-27}{64}.64+\frac{61}{5}\)
\(=12,25-27+12,2\)
\(=-2,55\)
f/ \(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}=\frac{2^{10}}{2^{10}}-\frac{2^5.5^3.3^3}{2^3.3^3.5^2.2^2}\)
\(=1-\frac{2^5.5^3.3^3}{2^5.3^3.5^2}=1-\frac{5}{1}=-4\)
\(\)
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