\(\left(\frac{-1}{64}\right)^5=-\frac{1}{64^5}=-\frac{1}{\left(4^3\right)^5}=-\frac{1}{4^{15}}\)
\(\left(-\frac{1}{4}\right)^7=-\frac{1}{4^7}\)
\(-\frac{1}{4^{15}}>-\frac{1}{4^7}\)
\(\Rightarrow\left(-\frac{1}{64}\right)^5>\left(-\frac{1}{4}\right)^7\)
So sánh:
\(\left(-\frac{1}{64}\right)^5\) và \(\left(-\frac{1}{4}\right)^7\)
so sánh :
C=\(\frac{5^4.20^4}{25^5.4^5}\) và D=\(\left(\frac{-10}{3}\right)^5.\left(\frac{-6}{5}\right)^4\)
E=\(\left(1+\frac{2}{3}-\frac{1}{4}\right).\left(\frac{4}{5}-\frac{3}{4}\right)^2\)và F=\(2:\left(\frac{1}{2}-\frac{2}{3}\right)^3\)
I=\(\frac{2}{3}+\frac{1}{3}:\left(\frac{-8}{25}\right)\)và H=\(\frac{5}{11}.\frac{4}{11}+\frac{7}{11}.\frac{5}{11}-\frac{2}{3}\)
Cho x = 3,7.So sánh :
\(A=\left[x\right]+\left[x+\frac{1}{5}\right]+\left[x+\frac{2}{5}\right]+\left[x+\frac{3}{5}\right]+\left[x+\frac{4}{5}\right]\)
và B = [5x]
So sánh các số x và y, nếu
a)\(x=\sqrt{961}-\left(\frac{1}{\sqrt{6}}-1\right)\)và \(y=\sqrt{1089}-\left(\frac{1}{\sqrt{7}}+1\right)\)
b) \(\sqrt{0,01}+\sqrt{0,04}+\sqrt{0,09}+\sqrt{0,16}+...+\sqrt{0,81}\)và \(y=\sqrt{20+0,25}\)
c) \(x=\left(1-\frac{1}{\sqrt{4}}\right).\left(1-\frac{1}{\sqrt{16}}\right).\left(1-\frac{1}{\sqrt{36}}\right).\left(1-\frac{1}{\sqrt{64}}\right).\left(1-\frac{1}{\sqrt{100}}\right)\)và\(y=\sqrt{0,1}\)
Thực hiện phép tính
\(\frac{-1}{3}+\left(\frac{2}{3}\right)^3:\sqrt{\frac{64}{81}}-\left(-\frac{2}{5}\right)^0\)
\(15\frac{1}{5}:\left(\frac{-5}{7}\right)-25\frac{1}{5}.\left(\frac{-7}{5}\right)\)
\(\left(\frac{2}{5}\right)^6.\left(\frac{25}{4}\right)^2\)
thực hiện cách hợp lí
a) \(\left(-\frac{40}{5}.0,32.\frac{17}{20}\right):\frac{64}{75}\)
b) \(-1\frac{5}{7}.15+\frac{2}{7}.\left(-15\right)+\left(-105\right).\left(\frac{2}{3}-\frac{4}{5}+\frac{1}{7}\right)\)
bài 1 tính
a)\(-\frac{1}{4}\) b)\(\left(-2\frac{1}{3}\right)^2\) c)(0,5)3 d)\(\left(-1\frac{1}{3}\right)^4\)
bai 2 tìm x , biết
a)x:\(\left(-\frac{1}{3}\right)^3\)=\(-\frac{1}{3}\) b)\(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\) c)\(\left(\frac{4}{5}\right):x=\left(\frac{4}{5}\right)^7\) d)\(3x+1=27\)
bài 3 so sánh
a)\(10^{20}va9^{10}\) b)\(\left(-5\right)^3^0va\left(-3\right)^{50}\) c)\(64^8va16^{12}\) d)\(\left(\frac{1}{16}\right)^{10}va\left(\frac{1}{2}\right)^{50}\)
a ) thực hiện phép tính bằng cách nhanh nhất
\(\left(-\frac{40}{51}.0,32.\frac{17}{20}\right):\frac{64}{75}\)
\(-1\frac{5}{7}.15+\frac{2}{7}.\left(-15\right)+\left(-105\right).\left(\frac{2}{3}-\frac{4}{5}+\frac{1}{7}\right)\)
So sánh : \(\left(\frac{1}{2^2}-1\right).\left(\frac{1}{3^2}-1\right).\left(\frac{1}{4^2}-1\right)...\left(\frac{1}{1000^2}-1\right)Và\frac{-1}{2}\)
