\(a,\dfrac{2929-101}{2.1919+404}=\dfrac{29.101-101.1}{2.19.101+4.101}\)
\(=\dfrac{101\left(29-1\right)}{101\left(2.19+4\right)}\)
\(=\dfrac{101.29}{101.42}\)
\(=\dfrac{28}{42}=\dfrac{2}{3}\)
\(b,\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}=\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}}\)
\(=\dfrac{40.\left(-15\right).64}{135.\left(-2\right)^{14}}\)
\(=\dfrac{5.8.3.\left(-5\right).64}{5.3.9.\left(-2\right)^{14}}\)
\(=\dfrac{8.\left(-5\right).\left(-2\right)^6}{9.\left(-2\right)^{14}}\)
\(=\dfrac{\left(-2\right)^3.5}{9.\left(-2\right)^8}=\dfrac{5}{9.\left(-2\right)^5}\)
