(-5) ^3 . 40.4^3/ 135.(-2)^14.(-100)^0
rút gọn phân số
\(\frac{\left(-5.\right).40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
= -125.40.64/135.16384.(-1)
= 5.(-25).5.8.64/5.27.64.8.32.(-1)
= -25.5/27.32.(-1)
= 25.5/27.32
= 125/864
Rút gọn phân số
a) \(\dfrac{-1997.1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
b)\(\dfrac{\left(-5\right)^{3^{ }}.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}^{ }\)
a) \(\dfrac{\left(-1997\right).1996+1}{\left(-1995\right).\left(-1997\right)+1996}=\dfrac{-1997\left(1995+1\right)+1}{1995.1997+1996}\)
\(=\dfrac{-1997.1995+\left(-1997\right)+1}{1995.1997+1996}=\dfrac{-1997.1995+\left(-1996\right)}{1995.1997+1996}=-1\)
rút gọn các phân số sau:
(-5)3.40.4\135.(-2)14.(-100)0
2929-101\2.1919-404
2.3+4.6+14.21\3.5+6.10+21.36
18.34+(-18).124\-36.17+9.(-52)
1)(-5)^3.40.4^3/135.(-2)^14.(100)^0
Rút gọn phân số (-5)^3.40.4^3/135.(-2)^14.(-100)^0
\(\frac{\left(-5\right)^3\cdot40\cdot4^3}{135\cdot\left(-2\right)^{14}\cdot\left(-100\right)^0}\)
\(\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
\(\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}=\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.1}=\dfrac{\left(-15\right).40.64}{135.\left(-2\right)^{14}}=\dfrac{\left(-5\right).3.5.8.64}{15.9.\left(-2\right)^{14}}=\dfrac{8.\left(-5\right).\left(-2\right)^6}{9.\left(-2\right)^{14}}=\dfrac{\left(-2\right)^3.5}{9.\left(-2\right)^8}=\dfrac{5}{9.\left(-2\right)^5}\)
\(\frac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
\(\frac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
= \(\frac{\left(-125\right).40.64}{135.16384.1}\)
= \(\frac{\left(-5000\right).64}{2211840}\)
= \(\frac{-320000}{2211840}\)
= \(\frac{-125}{864}\)
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(-5)^3.40.4^3/135.(-1)^14.(-100)^0
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