Tính giá trị biểu thức
\(N=\dfrac{6^6+6^3.3^3+3^6}{-73}\)
\(M=\dfrac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(T=\dfrac{45^{10}.5^{20}}{75^{15}}\)
Tìm x ; y;z :
\(\dfrac{40}{x-30}=\dfrac{20}{y-15}=\dfrac{28}{z-21}\) và x . y. z = 22400
Câu 1.Thực hiện phép tính:
a) -1\(\dfrac{5}{7}.15+\dfrac{2}{7}.\left(-15\right)+\left(-105\right).\left(\dfrac{2}{3}-\dfrac{4}{5}+\dfrac{1}{7}\right)\)
b) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
Thực hiện phép tính bằng cách hợp lí
a) \(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-1\dfrac{15}{17}+\dfrac{2}{3}\)
b) \(\left(-2\right)^3.\left(\dfrac{3}{4}-0,25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)
Tính:
\(\left(\dfrac{9}{25}-2.18\right):\left(3\dfrac{4}{5}+0,2\right)\)
\(\dfrac{3}{8}.19\dfrac{1}{3}\dfrac{3}{8}.33\dfrac{1}{3}\)
\(15.\left(-\dfrac{2}{3}\right)^2-\dfrac{7}{3}\)
\(\dfrac{1}{2}\sqrt{64}-\sqrt{\dfrac{4}{25}}+\left(-1\right)^{2007}\)
\(\left(-\dfrac{5}{2}\right)^2:\left(-15\right)-\left(0,45+\dfrac{3}{4}\right).\left(-1\dfrac{5}{9}\right)\)
\(\left(\dfrac{-1}{3}\right)-\left(\dfrac{-3}{5}\right)^0+\left(1-\dfrac{1}{2}\right)^2:2\)
\(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}\)
\(\dfrac{5^4.20}{25^5.4^5}\)
1.a)Tính
A=\(\dfrac{5.4^{15}.9^9.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
So sánh : \(\left(\dfrac{1}{4}\right)^5\) và \(\left(\dfrac{-1}{2}\right)^4\);; \(A=15^{200}:25^{60}\)và \(B=2^{45}.2^{15}.4^{60}\)
mn giúp mk vs
a)\(\dfrac{x-3}{4}=\dfrac{4}{x=3}\)
b)(x-1);5=(2x+1):3
c)\(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
d)\(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+1}\)
e) \(\dfrac{x+4}{20}=\dfrac{5}{x+4}\)
Tính hợp lí :
a) \(19\dfrac{1}{3}.\dfrac{3}{7}-33\dfrac{1}{3}\)
b) \(9.\left(\dfrac{1}{2}\right)^2+\dfrac{1}{3}\)
c) \(15\dfrac{1}{4}:\left(\dfrac{-5}{7}\right)-25\dfrac{1}{4}:\left(\dfrac{-5}{7}\right)\)
Thực hiện phép tính (bằng cách hợp lí nếu có thể)
a) \(1\dfrac{4}{23}+\dfrac{5}{21}-\dfrac{4}{23}+0,5+\dfrac{16}{21}\)
b) \(\dfrac{3}{7}.19\dfrac{1}{3}-\dfrac{3}{7}.33\dfrac{1}{3}\)
c) \(9.\left(\dfrac{1}{3}\right)^3+\dfrac{1}{3}\)
d) \(15\dfrac{1}{4}:\left(-\dfrac{5}{7}\right)-25\dfrac{1}{4}:\left(-\dfrac{5}{7}\right)\)