Question

For a non-zero rational number $x$, $x^8÷x^2$ is equal to:

• A. $x^4$
• B. $x^6$
• C. $x^{10}$
• D. $x^{16}$

Answer 1

The correct option is B

$x^6$

Explanation for the correct option:

We know that, $\frac{{\mathbf{a}}^{\mathbf{m}}}{{\mathbf{a}}^{\mathbf{n}}}\mathbf{=}{\mathit{a}}^{\left(m-n\right)}$

$\therefore \frac{x^8}{x^2}=x^{\left(8-2\right)}=x^6$

Hence, the correct option is option B.