Question

180:{(-30)+[4².5-(14+3¹¹:3⁹)]}

Answer 1

\(180:\left\{\left(-30\right)+\left[4^2.5-\left(14+3^{11}:3^9\right)\right]\right\}\)

\(=180:\left\{\left(-30\right)+\left[16.5-\left(14+3^{11}.\dfrac{1}{3^9}\right)\right]\right\}\)

\(=180:\left\{\left(-30\right)+\left[80-\left(14+3^2\right)\right]\right\}\)

\(=180:\left\{\left(-30\right)+\left[80-\left(14+9\right)\right]\right\}\)

\(=180:\left[\left(-30\right)+80-23\right]\)

\(=180:27\\ =\dfrac{20}{3}\)