Simplify $\left(\frac{x^m}{x^n}\right)^{m+n}.\left(\frac{x^n}{x^p}\right)^{n+p}.(x^p×x^m)^{p-m}$
Answer & explanation
Correct answer: option 3
( xm-n )m+n × ( xn-p )n+p × ( xp+m )p-m
⇒ (x)m² - n² × (x)n² -p² × (x)p² - m²
⇒ (x)(m² - n² + n² - p² + p² - m²)
Here, (m² - n² + n² - p² + p² - m² = 0 )
Therefore,
⇒ x0 = 1