Question

Answer 1

a) \(\dfrac{\left(-3\right)^{10}.15^5}{25^3.\left(-9\right)^7}=\dfrac{3^{10}.3^5.5^5}{-\left(5^2\right)^3.\left(3^2\right)^7}=\dfrac{3^{15}.5^5}{-5^6.3^{14}}=-\dfrac{3}{5}\)

b) \(2^3+3\left(\dfrac{1}{9}\right)^0-2^{-2}.4+\left[\left(-2\right)^2:\dfrac{1}{2}\right].8\)

\(=8+3.1-\dfrac{1}{4}.4+\left[4.2\right].8\) \(=74\)