Question

please solve the question guys

Answer 1

class name plz......

Answer 2

Answer:

To Prove: $\frac{x^{a(b-c)}}{x^{b(a-c)}}\div(\frac{x^b}{x^a})^c=1$

Consider,

LHS

$=\frac{x^{a(b-c)}}{x^{b(a-c)}}\div(\frac{x^b}{x^a})^c$

$=\frac{x^{ab-ac}}{x^{ab-bc}}\div\frac{x^{bc}}{x^{ac}}$

$=\frac{x^{ab-ac}}{x^{ab-bc}}\times\frac{x^{ac}}{x^{bc}}$

$=\frac{x^{ab-ac}}{x^{ab-bc}}\times\frac{x^{ac}}{x^{bc}}$

$=\frac{x^{ab-ac}\times x^{ac}}{x^{ab-bc}\times x^{bc}}$

$=\frac{x^{ab-ac+ac}}{x^{ab-bc+bc}}$

$=\frac{x^{ab}}{x^{ab}}$

$=1$

RHS = 1

Hence Proved.