Question

If m = xᵃ, n = xᵇ, p = xᶜ then the value of mᵇ ⁻ ᶜ × nᶜ ⁻ ᵃ × pᵃ ⁻ ᵇ is

Answer 1

Answer:

${m}^{b - c} \times {n}^{c - a} \times {p}^{a - b}$

${ {x}^{a} }^{b - c} \times { {x}^{b} }^{c - a} \times { {x}^{c} }^{a - b}$

${x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}$

${x}^{a(b - c) + b(c - a) + c(a - b)}$

${x}^{ab - ac + bc - ab + ac - bc}$

${x}^{0}$

$1$