Ta có: \(\left(3^2\right)^2-\left(-2^3\right)^2-\left(-5\right)^2\)
\(=9^2-\left(-8\right)^2-25\)
\(=81-64-25\)
=-8
a)\(\left(2^2+3\right)\cdot\left(x-5\right)+14=5^2124:2^2\)
b) \(3^2\cdot\left(x+1\right)-3=2^3+7^2\cdot2:14\)
c) \(2^2\cdot3\cdot\left(x+5\right)-6=\left(2^3+2^2\right)\cdot2^2\)
d) \(\left(2^2+1\right)\cdot\left(x+14\right)=5^2\cdot4+\left(2^5+3^2+7^2\right):2\)
e) \(\left(2^2-1\right)\cdot\left(x-1\right)=2^2+\left(6^2+2^6\right):\left(5^2\cdot2\right)\)
g) \(\left(3^2-2\right)\cdot\left(x-12\right)+35=5^2+279:3^2\)
nhìn thì cảm thấy khó nhưng lại rất dễ đó
\(\left(-2\right)^4.\left(-3\right)^3.\left(-5\right)^2.\left(\frac{1}{2}\right)^4.\left(\frac{1}{3}\right)^3.\left(\frac{1}{5}\right)^2\)
\(\left(-2\right)^4.\left(-3\right)^3.\left(-5\right)^2.\left(\frac{1}{2}\right)^4.\left(\frac{1}{3}\right)^3.\left(\frac{1}{5}\right)^2=?\)
a,\(3-\left(\frac{-6}{7}\right)^0+\left(\frac{1}{2}\right)^2:2\)
b,\(\left(-2\right)^3+2^2+\left(-1\right)^{20}+\left(-2\right)^0\)
c,\(\left(\left(3\right)^2\right)^2-\left(\left(-5\right)^2\right)^2-\left(\left(-2\right)^3\right)^2\)
d,\(2^4+8[\left(-2\right)^2:\frac{1}{2}]^0-2^{-2}.4+\left(-2\right)^2\)
e, \(2^3+3\left(\frac{1}{2}\right)^0-2^{-2}.4+[\left(-2\right)^2:\frac{1}{2}].8\)
Tìm x liên quan đến lũy thừa:
1, \(\left(3x-\dfrac{1}{5}\right)^2=\left(\dfrac{-3}{25}\right)^2\)
2, \(\left(2x-\dfrac{1}{3}\right)^2=\left(\dfrac{-2}{9}\right)^2\)
3, \(\left(\dfrac{1}{3}-x\right)^2=\dfrac{9}{25}\)
4, \(\left(5-x\right)^2=25\)
Thực hiện phép tính:
1, \(\left(\dfrac{-1}{2}\right)^2.\left|+8\right|-\left(-\dfrac{1}{2}\right)^3:\left|-\dfrac{1}{16}\right|\)
2, \(\left|-0,25\right|-\left(-\dfrac{3}{2}\right)^2:\dfrac{1}{4}+\dfrac{3}{4}.2017^0\)
3, \(\left|\dfrac{2}{3}-\dfrac{5}{6}\right|.\left(3,6:2\dfrac{2}{5}\right)^3\)
4, \(\left|\left(-0,5\right)^2+\dfrac{7}{2}\right|.10-\left(\dfrac{29}{30}-\dfrac{7}{15}\right):\left(-\dfrac{2017}{2018}\right)^0\)
5, \(\dfrac{8}{3}+\left(3-\dfrac{1}{2}\right)^2-\left|\dfrac{-7}{3}\right|\)
1 tính
a, \(\left(\frac{1}{2}\right)^4\)
b, \(\left(\frac{1}{2}\right)^3\)
c, \(\left(\frac{-3}{5}\right)^2\)
d, \(\left(\frac{-1}{5}\right)^2\)
e, \(\left(\frac{-1}{6}\right)^3\)
2 tính
a, \(\left(\frac{3}{2}\right)^2.\left(\frac{4}{3}\right)^2\)
b,\(\left(\frac{-1}{2}\right)^3.\left(\frac{2}{3}\right)^3\)
c, \(\left(\frac{-1}{2}\right)^2.\left(\frac{2}{5}\right)^2\)
d, \(\left(\frac{-1}{2}\right)^3.\left(\frac{2}{3}\right)^3\)
e, ( -5 ) 3 x \(\left(\frac{1}{5}\right)\)
f, \(\left(\frac{2}{9}\right)^5.\left(\frac{-27}{4}\right)^5\)
\(A=-5^{22}-\left\{-222-\left[-122-\left(100-5^{22}\right)+2022\right]\right\}\)
\(B=1+\dfrac{1}{2}\left(1+2\right)+\dfrac{1}{3}\left(1+2+3\right)+...+\dfrac{1}{20}\left(1+2+3+...+20\right)\)
\(C=\dfrac{5.4^6.9^4-3^9.\left(-8\right)^4}{4.2^{13}.3^8+2.8^4.\left(-27\right)^3}\)
Tính nhanh :
\(\dfrac{\left(\dfrac{2}{3}\right)^3\cdot\left(-\dfrac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2\cdot\left(-\dfrac{5}{12}\right)^3}\)
