Question

Please I need help
please with its explanation ​

Answer 1

`\textbf{a)}\\\\(2b^4)^3 \\\\=2^3 \cdot (b^4)^3\\\\=8b^(4 * 3)\\\\=8b^(12)\\\\\textbf{b)}\\\\\left( (3)/(x^2 y) \right)^2\\\\\\=(3^2)/((x^2 y)^2)\\\\\\=(9)/(x^4 y^2)\\\\\textbf{c)}\\\\(5a^4b)^2\\\\=5^2\cdot a^(4 * 2) \cdot b^2\\\\=25a^8b^2\\\\\textbf{d)}\\\\\left( (m^3 )/(2n^2) \right)^4\\\\\\=((m^3)^4)/((2n^2)^4)\\\\\\=(m^(3 * 4))/(2^4 \cdot n^(2 * 4))\\\\\\=(m^(12))/(16n^8)`