Question

Rút gọn các phân số sau :
a. (-5)³ . 40 . 4³ / 125 . (-2)¹⁴ . (-1000)⁰

 

Answer 1

\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)

\(=\frac{\left(-125\right).40.64}{125.16384.1}\)

\(=\frac{\left(-1\right).5}{1.32.1}=-\frac{5}{32}\)

Answer 2

\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)

\(=\frac{\left(-5\right)^3.2^3.5.\left(2^2\right)^3}{5^3.2^{14}.1}\)

\(=\frac{\left(-5\right)^3.2^3.5.2^6}{5^3.2^{14}}\)

\(=\frac{\left(-5\right)^3.2^9.5}{5^3.2^{14}}\)

\(=\frac{-5}{2^5}\)

\(=\frac{-5}{32}\)

Answer 3

\(=\frac{\left(-5\right)^3.2^3.5.2^6}{5^3.2^{14}.1}=\frac{-1^3.2^8.5}{5^3.2^{14}}=\frac{-1^3.5}{2^6}\)\(=\frac{-5}{32}\)

Answer 4

\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)

\(=\frac{\left(-125\right).40.64}{125.16384.1}\)

\(=\frac{\left(-1\right).5}{1.32.1}\)

\(=\frac{-5}{32}\)