Question

Simplify ((4 sqrt x)^(2n+1))/(sqrt x(2n+1)) into the form of A * r^n where A is a function of n, and r is a function of x

Answer 1

`\frac{ {(4 √(x) )}^(2n + 1) }{ √(x)(2n + 1) } = \frac{ {4}^(2n) {x}^(n) 4 √(x) }{ √(x) (2n +1)} = \frac{ 4({16}^(n) {x}^(n))}{2n + 1} = (4)/(2n + 1) (( {16x})^(n) )`

A = 4(2n + 1)

r = (16x)^n