Question

Show that
$\frac{x {}^{a(b - c)} }{x {}^{b(a - c)} } \div ( \frac{x {}^{b} }{x {}^{a} } ) {}^{c} = 1$
with steps

Answer 1

Heya friend it is proved

Answer 2

LHS
$\frac{x {}^{ab - ac} }{x {}^{ab - bc} } \div x {}^{(b - a)c}$
${x}^{ - ac + bc } \div {x}^{bc - ac}$
$1$
Hence, LHS = RHS

HOPE IT HELPS.