Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify $x^9 × x^5 × x^{-4} × x^0 × x^{-6}$.

Options:

$x^4$

$x^{-4}$

$x^{-6}$

$x^6$

Correct Answer:

$x^4$

Explanation:

$x^9 × x^5 × x^{-4} × x^0 × x^{-6}$

= x9 × x5 × \(\frac{1}{x^4}\) × \(\frac{1}{x^6}\)

= x9 × x × \(\frac{1}{x^6}\)

= x9 × \(\frac{1}{x^5}\)

$x^4$