Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify $\left(\frac{x^m}{x^n}\right)^{m+n}.\left(\frac{x^n}{x^p}\right)^{n+p}.(x^p×x^m)^{p-m}$

Options:

$mnp$

0

1

$m^2-p^2+n^2$

Correct Answer:

1

Explanation:

( 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