Question

Answer 1

\(1,\\ a,=2^{21}:\left(-2\right)^{14}=2^{21}:2^{14}=2^7\\ b,=\left(-\dfrac{1}{3}\cdot9\right)^{10}=\left(-3\right)^{10}=3^{10}\\ 2,\\ \Leftrightarrow\left(x-\dfrac{2}{3}\right)^3=6^3\\ \Leftrightarrow x-\dfrac{2}{3}=6\Leftrightarrow x=\dfrac{19}{3}\\ 3,\\ \dfrac{18}{24}=\dfrac{2,7}{3,6};\dfrac{18}{2,7}=\dfrac{24}{3,6};\dfrac{3,6}{24}=\dfrac{2,7}{18};\dfrac{3,6}{2,7}=\dfrac{24}{18}\)

Answer 2

a) 8⁷/(-4)⁷=(8/-4)⁷=-2⁷

b) (-1/3)¹⁰*9¹⁰=(-1/3*9)¹⁰=-3¹⁰