Question

Answer 1

\(X=\left(2xy^3\right)^{n-1}\cdot x\cdot\left(x^2y\right)^{n-2}\cdot\left(2xyz\right)^{2n+3}\)

\(=2^{n-1}\cdot x^{n-1}\cdot y^{3n-3}\cdot x\cdot x^{2n-4}\cdot y^{n-2}\cdot2^{2n+3}\cdot x^{2n+3}\cdot y^{2n+3}\cdot z^{2n+3}\)

\(=\left(2^{n-1}\cdot2^{2n+3}\right)\cdot\left(x^{n-1+1+2n-4+2n+3}\right)\cdot\left(y^{3n-3+n-2+2n+3}\right)\cdot z^{2n+3}\)

\(=2^{3n+2}\cdot x^{5n-1}\cdot y^{6n-2}\cdot z^{2n+3}\)