Question

What is the simplest form of the expression $\frac{16x^{16}}{2x^2}$ ?

• A. $8x^{14}$
• B. $8x^8$
• C. $8x^{18}$
• D. None of the above

Answer 1

The correct option is A $8x^{14}$

$\frac{16x^{16}}{2x^2}=\frac{16}{2}\times$ $\frac{x^{16}}{x^2}=8\times \frac{x^{16}}{x^2}$

$=8x^{16-2}$ [Applying: $\frac{a^m}{a^n}=a^{m-n}$ ]
$=8x^{14}$